Let \( T \) and \( C \) respectively be the transverse and conjugate axes of the hyperbola \( 16x^{2}-y^{2}+64x+4y+44=0 \). Then the area of the region above the parabola \( x^{2}=y+4 \), below the transverse axis \( T \) and on the right of the conjugate axis \( C \) is:
