Diagonalization & Matrix Powers · Easy problem

A matrix is written as $A = PDP^{-1}$ with $P = \begin{pmatrix}1 & 2\\3 & 5\end{pmatrix}$ and $D = \begin{pmatrix}7 & 0\\0 & -2\end{pmatrix}$. The vector $\begin{pmatrix}2\\5\end{pmatrix}$ is an eigenvector of $A$. What is its eigenvalue?