The low-energy p-wave pion-nucleon scattering amplitude is represented by a single Regge pole in the direct channel with correct analytical properties. The three parameters of the trajectory at threshold have been determined. From the residue of the pole at the nucleon position the πN coupling constant is determined to be g2=13.68. The agreement at high energies is poor. A possible explanation of the discrepancy is that the analytically continued partial-wave amplitude at J=12 does not coincide with the physical amplitude. The difference is shown, from unitarity, to be approximately given at threshold by the contribution of an elementary nucleon pole. With such a term a good agreement is obtained up to 100 MeV with Woolcook's data and g2 is found to be 13.03.