  We present results from large-scale Monte Carlo simulations on the full
Ginzburg-Landau (GL) model, including fluctuations in the amplitude and the
phase of the matter-field, as well as fluctuations of the non-compact
gauge-field of the theory. {}From this we obtain a precise critical value of
the GL parameter $\kct$ separating a first order metal to superconductor
transition from a second order one, $\kct = (0.76\pm 0.04)/\sqrt{2}$. This
agrees surprisingly well with earlier analytical results based on a disorder
theory of the superconductor to metal transition, where the value
$\kct=0.798/\sqrt{2}$ was obtained. To achieve this, we have done careful
infinite volume and continuum limit extrapolations. In addition we offer a
novel interpretation of $\kct$, namely that it is also the value separating
\typeI and \typeII behaviour.<
