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If you want to quickly check the servers aren't down if you live in the EU then I guess instead of going all the way to Codemasters LotrO site to check it out, why not check it out on LotrFiles!
Go to the left hand menu and look under Lord of the Rings Online section then click on EU Server Status and it'll give you the page you need to check the server status.
Or simple click here
I couldn't get one for the US servers as well they don't have one like Codemasters do so I'll try and figure something out.