Luca,
I apologize for the delay. To disable just the user email, and not the admin email, you'd need to make a different modification in the same file.
Around line 495, you'll see:
// Send the registration email.
$return = JFactory::getMailer()->sendMail($data['mailfrom'], $data['fromname'], $data['email'], $emailSubject, $emailBody);Comment out the 2nd line above, which is just for the user email. The rest of the code below that is for the administrator emails.
I hope that helps, but if you still have questions, just let me know.
Thanks,
Alex