Apparently this isn't just an imperial shuttle, it's a Lambda-class T-4a shuttle. I never would have guessed. :o)
You've seen the imperial shuttle in Return of the Jedi, when the Emperor visited the second Death Star. It's also the shuttle that Han, Luke, Chewbacca, Leia, and the rest of the strike team used to land on the moon of Endor, which led to the downfall of the Empire. Woohoo!
The coolest thing about this Lego build, in my opinion, is the blue plate which represents the lights on the back of the shuttle.
Lego Imperial Shuttle: