Let $f$ be the normalized cuspidal Hecke eigenform of weight $k$, level $N$, nebentypus character $\chi$, coefficient field $K_f$, and Hecke eigenvalues $(a_p)_{p \nmid N}$. Let $\lambda \mid \ell$ be a finite place of $K_f$, and let
be the $\lambda$-adic Galois representation attached to $f$. For every prime $p \nmid N\ell$, the representation $\rho_{f,\lambda}$ is unramified at $p$ and satisfies