Could Panther shark be played face-down defense when summoned by its own effect?

Question

Panther shark effect is :

If your opponent controls 2 or more monsters, you can Normal Summon this card without Tributing. If you control "Eagle Shark", you can Special Summon this card (from your hand). You can only control 1 "Panther Shark".

Eagle shark effect is :

If your opponent controls 2 or more monsters, you can Normal Summon this card without Tributing. If you control "Panther Shark", you can Special Summon this card (from your hand). You can only control 1 "Eagle Shark".

I would like to know if I can play Panther shark face-down defense position from its own effect.

If you control "Eagle Shark", you can Special Summon this card (from your hand).

And also can I summon in face-down defense position Panther shark according to the first part of its effect?

If your opponent controls 2 or more monsters, you can Normal Summon this card without Tributing

To sum up does the normal and special summon allowed by the effect of panther shark allows me to play this card in defense position face-down?

Thanks ;)

Answer 1

If you normal summon you can play in face down

but

If it is special summoned it has to be face up

Answer 2

I would say no, because it specifically says "Normal Summon," not setting, which is a slightly different concept than just Normal Summoning.