  We study N=2 super-conformal field theories in four dimensions that
correspond to mass-deformed linear quivers with n gauge groups and
(bi-)fundamental matter. We describe them using Seiberg-Witten curves obtained
from an M-theory construction and via the AGT correspondence. We take
particular care in obtaining the detailed relation between the parameters
appearing in these descriptions and the physical quantities of the quiver gauge
theories. This precise map allows us to efficiently reconstruct the
non-perturbative prepotential that encodes the effective IR properties of these
theories. We give explicit expressions in the cases n=1,2, also in the presence
of an Omega-background in the Nekrasov-Shatashvili limit. All our results are
successfully checked against those of the direct microscopic evaluation of the
prepotential a la Nekrasov using localization methods.
