Using JFBconnect, and I do not have any redirects set in the login module, nor in the extension config.
When logged out of FB, the page loads, and is fine.
If you are already logged into FB, or login. The site it automatically is redirected to:
nullindex.php?option=com_jfbconnect&task=loginFacebookUser&return=null&cb=1340830585507
Not Found
The requested URL /nullindex.php was not found on this server.
Additionally, a 404 Not Found error was encountered while trying to use an ErrorDocument to handle the request.