D

Self-inductance of a solenoid is a measure of the ability of the solenoid to induce an electromotive force (emf) in itself due to a change in current.

The self-inductance (L) of a solenoid is defined by the equation:
$$L = \frac{N^2 \mu A}{\lambda}$$
where:
- N: the number of turns of the coil
- A: the cross-sectional area
- \mu: the permeability of the core material
- \lambda: the length of the solenoid

Therefore, L depends on the number of turns, the cross-sectional area, the length of the solenoid, and the permeability of the core material. Hence, the correct answer is D: all the above.