That depends on the number of coefficients you are using as well as the number of alternatives in your choice model.
The number of choice tasks S needs to satisfy:
S*(J-1) >= K
where J is the number of alternatives and K is the number of coefficients you are estimating (including for dummy coded variables, interaction effects, etc).
The smallest S that satisfies the above is the MINIMUM number of choice tasks you need in your design (before blocking). But generally you will want to use a larger design than that to have enough variation, so you could choose to use something like 2*S, 3*S or 4*S to make sure that you have enough variation.
You may want to refer to Sandor and Wedel (2005),
https://journals.sagepub.com/doi/abs/10.1509/jmkr.42.2.210.62285.
Michiel