  We present the discovery of two planets around the solar twin HIP 104045 via
radial velocity data obtained with the ESO/HARPS spectrograph as part of the
Solar Twin Planet Search observing programme. The joint Keplerian and Gaussian
Process model fit accounting for both planetary and intrinsic stellar
modulations, as well as no timing-radial velocity correlations of several
activity tracers of the host star, reveal the presence of a Jupiter analogue
$m\sin{i}_b$ = 0.498$\pm$0.074 M$_{\rm Jup}$ under circular orbit with $P_b$ =
2315$\pm$310 days and a cold Super-Neptune $m\sin{i}_c$ = 43.15$\pm$10.3
M$_\oplus$ under circular orbit with $P_c$ = 316$\pm$75 days.
