You can't mine here to your e-mail address.
Where in the world did you get that idea? 

Eligius does not require registration, you just use your bitcoin address like below.  The stats are currently being changed so they are currently not working.  During the transition you need to look at the stats page on your miner to confirm you are connected and view your mining speed.

http://eligius.st/~wizkid057/newstats/userstats.php/{put your bitcoin address here}