See how a regression coefficient (β) translates into an Odds Ratio and shifts the Probability of disease.
The risk of disease for someone with a predictor value of 0.
The 'Estimate' from your R output.
Notice that while the Odds Ratio stays constant for a given β, the actual jump in Probability depends on where you start (the baseline risk). This is why logistic regression uses a non-linear S-curve!