Is the USS George Washington Armed with Nuclear Weapons?

America’s response to the Korean incident has got me thinking about the capabilities of their aircraft carriers. The USS George Washington is currently involved in naval manoeuvres with the South Korean navy, it is powered by nuclear reactors which means it does not have to refuel every 3-5 days saving a lot of time and money. My question is, is the USS George Washington capable of firing a nuclear weapon? So far I have discovered that it is capable of transporting and firing nuclear weapons however the US will not disclose whether it is carrying nuclear missiles or not.