Atkin-Lehner |
5+ 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120785d |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3546816 |
Modular degree for the optimal curve |
Δ |
16982097009977365 = 5 · 710 · 17 · 294 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35105821,80048525505] |
[a1,a2,a3,a4,a6] |
j |
16938725363182206976/60118885 |
j-invariant |
L |
1.041000762218 |
L(r)(E,1)/r! |
Ω |
0.26025024023465 |
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 |
120785g1 |
Quadratic twists by: -7 |