Question:

Let the line $L: \frac{x-1}{2} = \frac{y+1}{-1} = \frac{z-3}{1}$ intersect the plane $2x + y + 3z = 16$ at the point P. Let Q be the foot of perpendicular from the point $R(1, -1, -3)$ on the line L. If $\alpha$ is the area of triangle PQR, then $\alpha^2$ is equal to _____.