The issues related to Epic players logging in to the North American and European PC/Mac megaservers have been resolved at this time. If you continue to experience difficulties at login, please restart your client. Thank you for your patience!
"We are currently investigating connection issues some players are having on the European megaservers. We will update as new information becomes available."
— They always claim they’re “investigating” the causes, but in reality they’re just waiting until the PC EU players go to bed. Once that happens, you can suddenly log in again and they happily mark the issue as Fixed.