Let a line \( L \) passing through the point \( P(1, 1, 1) \) be perpendicular to the lines \( \frac{x-4}{4} = \frac{y-1}{1} = \frac{z-1}{1} \) and \( \frac{x-17}{1} = \frac{y-71}{1} = \frac{z}{0} \). Let the lines \( L \) intersect the \( yz \)-plane at the point \( Q \). Another line parallel to \( L \) and passing through the point \( S(1, 0, -1) \) intersects the \( yz \)-plane at the point \( R \). Then the square of the area of the parallelogram \( PQRS \) is equal to _______.
