  We define the cosmological parameters $H_{c,0}$, $\Omega_{m,c}$ and
$\Omega_{\Lambda, c}$ within the Conformal Cosmology as obtained by the
homogeneous approximation to the conformal-invariant generalization of
Einstein's General Relativity theory. We present the definitions of the age of
the universe and of the luminosity distance in the context of this approach. A
possible explanation of the recent data from distant supernovae Ia without a
cosmological constant is presented.
