Matrices And Determinants

Let $$B=\left[\begin{array}{ll}1 & 3 \\ 1 & 5\end{array}\right]$$ and \(A\) be a \(2 \times 2\) matrix such that \(A B^{-1}=A^{-1}\). If \(B C B^{-1}=A\) and \(C^4+\alpha C^2+\beta I=O\), then \(2 \beta-\alpha\) is equal to