From the airport
Train: C1 to Atocha Cercanías. It's a 34 minutes trip. If you are in the city for a few days buy a T-10, Multi-person card for 10 journeys. It works on the bus too.
Taxi: It's a 20-30 minutes trip and is around €33.
Aerobus shuttle: Drops off at Atocha, Cibeles (night) and O'Donell-Doctor Esquerdo to Airport T1,T2 and T4.
Metro: Take Line 8 towards Nuevos Ministerios. Change to Line 10. In Tribunal change to Line 1 and get off at Estación del Arte. These station is 2 minutes walking from the Hotel.