Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9996h |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
39312 |
Modular degree for the optimal curve |
Δ |
33191971658496 = 28 · 33 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -6 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10404,-296568] |
[a1,a2,a3,a4,a6] |
j |
1722448/459 |
j-invariant |
L |
1.4463214441386 |
L(r)(E,1)/r! |
Ω |
0.48210714804621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984du1 29988bi1 9996j1 |
Quadratic twists by: -4 -3 -7 |