Login issues after moving WP to a new domain

I just tried to move my WordPress installation to a new domain, without changing the hosting setup. I’ve made the updates in the database and the site is working on the front end. The only problem is I can’t seem to login to the backend. After I click login, the login page reloads. If I enter an incorrect username/password combination, I get an error message, but no error message when I’m using the correct password.

Any ideas?