YouTube Login using HttpWebRequest C#

500 points to the guy who figures this problem out with working solution (source code)!

I am trying to login YouTube using C# Httpwebrequest and I am getting mad.
I tried looking for HTTP headers YouTube uses to login, and I found some, but cant manage to make it work.
Lastly, right now I have no more clue what I should do. (I tried what I could, but I dont really understand this concept, so I leave the problem to you experts).
Here is what I have done so far (look code section). I may be doing completely wrong thing, please research on your own.

public bool Login(string username, string password, CookieContainer cookies, string useragent)
{
    HttpWebRequest request = null;
    HttpWebResponse response = null;
    string url;
    string url2;
    try
    {    
        url2 = "&ltmpl=sso&GALX=nQYPV6vAv54&Email=" + username + "&Passwd=" + password + "&PersistentCookie=yes&rmShown=1&signIn=Sign+in&asts=";
        url = "https://www.google.com/accounts/ServiceLogin?service=youtube&hl=en_US&passive=true&ltmpl=sso&continue=http%3A%2F%2Fwww.youtube.com%2Fsignup%3Fhl%3Den_US%26warned%3D%26nomobiletemp%3D1%26next%3D%2Findex&service=youtube&uilel=3"; //+url2
        
        request = (HttpWebRequest)WebRequest.Create(url);
        request.Referer = url;
            request.ContentType = "application/x-www-form-urlencoded";
            request.Headers.Add("Accept-Language", "en-us,en;q=0.5");
            request.Headers.Add("Accept-Charset", "ISO-8859-1,utf-8;q=0.7,*;q=0.7");
            request.Accept = "image/gif, image/x-xbitmap, image/jpeg, image/pjpeg, application/vnd.ms-excel, application/vnd.ms-powerpoint, application/msword, application/x-shockwave-flash, application/x-silverlight, */*";
            request.Method = "POST";
            request.AllowAutoRedirect = true;
            request.CookieContainer = cookies;
            request.Timeout = this.timeout * 0x3e8;
            request.ContentLength = url.Length;
            request.ReadWriteTimeout = this.timeout * 0x3e8;
            request.UserAgent = useragent;
            if (randomProxy != null && checkBox1.Checked == true)
            {
                //request.Proxy = new WebProxy(proxy.ToString());
                request.Proxy = new WebProxy(randomProxy.ToString());
            }
            byte[] buffer = Encoding.UTF8.GetBytes(url2);
            Stream requestStream = request.GetRequestStream();
            requestStream.Write(buffer, 0, buffer.Length);
            requestStream.Close();
            response = (HttpWebResponse)request.GetResponse();
            
            //response = (HttpWebResponse)request.GetResponse();
            //new StreamReader(response.GetResponseStream()).ReadToEnd();
            string input = new StreamReader(response.GetResponseStream()).ReadToEnd();
            
            using (System.IO.StreamWriter output = System.IO.File.CreateText(Application.StartupPath + @"\Resources\log.txt"))
            {
                output.WriteLine(input);
            }
            return true;
    }
    catch(Exception e)
    {
        MessageBox.Show(null, e.ToString(), "");
        return false;
    }
}

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