Hi,
As I found Bannantine quite hard to get hold of, here's my take on these parameters:
A strain-life curve is basically made up of two log-log straight curves for the elastic and plastic strains;
elastic coefficient = fatigue strength coefficient
elastic exponent = " " (Basquin) exponent
plastic coefficient = " ductility coefficient
plastic exponent = " " (Coffin-Manson) exponent
Basquin between -0.05 and -0.12 for some typical steels, Coffin-Manson from -0.5 to -0.7?
Safe Technology of Sheffield, UK have provided some good advice, courses etc in the past...
Good luck!