The photoionization cross-section and asymmetry parameter profiles relative to the seven uppermost molecular orbitals of C-60 are calculated by means of a density functional approach, based on the explicit continuum wave-function within a very large scale one center expansion in a radial B-spline basis set. The convergence with respect to the maximum angular momentum is analyzed. Strong giant resonances in the cross-section of individual states are found, their occurrence is rationalized on the ground of minimal basis set calculations. The asymmetry parameters are as well very structured, also at higher photon energy than the cross-section profiles. Good agreement between the present calculations and the available experimental data is found.