`Display: none` would do it, yes. And you can find out the class with right click->Inspect Element. The bad news is, all three links have the same class, "link_group for_nil". But you can target the one to your profile with `div.user_links link_group:first`. So in the end:
div.user_links link_group:first { Display: none; }
Beware, I haven't tested the code. Hope this helps!