Do you want to disable twitter email alerts for replies/mentions, retweets and favorites?
Try this…

  1. Go to your Twitter profile page – click “Edit your profile” link.
  2. On the profile page – click on the “Notifications” tab.
  3. Uncheck the boxes next to the notifications you do not require.

Once you do that Twitter will stop sending you email alerts and you will have a very happy inbox once more.