Seems like most research papers agree on this:
Relationships between testosterone, cortisol and performance in professional cyclists - PubMed
"Basal serum total testosterone and free testosterone concentrations were lower in elite amateur cyclists than in age-matched weightlifters or untrained individuals."
Maximal strength and power, muscle mass, endurance and serum hormones in weightlifters and road cyclists - PubMed
"Post training, resting testosterone levels decreased from 28.8 +/- 74 nmol/l to 24.6 +/- 90 nmol/l (p < 0.05). Resting cortisol levels increased from 272 +/- 110 nmol/l pre training to 379 +/- 242 nmol/l post training (p < 0.05). These results indicate an increased catabolic state. The acute hormonal response and the resting levels of LH were not changed post training. The resting levels of testosterone and cortisol and the acute response to exercise showed no correlation with performance pre and post training. In spite of an increased catabolic state post training there was an increase in performance."
I do pedal quite a lot and find that lifting weights counter balances the effect!
Relationships between testosterone, cortisol and performance in professional cyclists - PubMed
"Basal serum total testosterone and free testosterone concentrations were lower in elite amateur cyclists than in age-matched weightlifters or untrained individuals."
Maximal strength and power, muscle mass, endurance and serum hormones in weightlifters and road cyclists - PubMed
"Post training, resting testosterone levels decreased from 28.8 +/- 74 nmol/l to 24.6 +/- 90 nmol/l (p < 0.05). Resting cortisol levels increased from 272 +/- 110 nmol/l pre training to 379 +/- 242 nmol/l post training (p < 0.05). These results indicate an increased catabolic state. The acute hormonal response and the resting levels of LH were not changed post training. The resting levels of testosterone and cortisol and the acute response to exercise showed no correlation with performance pre and post training. In spite of an increased catabolic state post training there was an increase in performance."
I do pedal quite a lot and find that lifting weights counter balances the effect!