  When a massive star explodes as a Gamma Ray Burst information about this
explosion is retained in the properties of the prompt and afterglow emission.
We report on new relationships between the prompt and X-ray afterglow emission
of Swift-detected Gamma Ray Bursts found from BAT and XRT data between 2004
December and 2013 August (754 GRBs). These relations suggest that the prompt
and afterglow emission are closely linked. In particular,we find very strong
correlations between the BAT 15-150keV $T_{90}$ and the break times before and
after the plateau phase in the X-ray 0.3-10keV afterglow light curves. We also
find a strong anti-correlation between the photon index of the GRB prompt
emission and the X-ray spectral slope of the afterglow. Further,
anti-correlations exist between the rest frame peak energy in the prompt
emission, E-peak,z, and the X-ray afterglow decay slope during the plateau
phase and the break times after the plateau phase. The rest-frame break times
before and after the plateau phase are also anti-correlated with the rest-frame
15-150keV luminosity and isotropic energy during the prompt emission. A
Principal Component Analysis suggests that GRB properties are primarily driven
by the luminosity/energy release in the 15-150 keV band. Luminosity functions
derived at various redshifts from logN-logS analysis, indicate that the density
of bright bursts is significantly lower in the local Universe compared with the
Universeat z$\approx$3, where the density of bright GRBs peaks. Using cluster
analysis, we find that the duration of Swift BAT-detected short-duration GRBs
is less than 1s. We also present the catalogue of all \swift-onboard detected
bursts.

High Energy Astrophysical Phenomena