Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
37920p |
Isogeny class |
Conductor |
37920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-5991360 = -1 · 26 · 3 · 5 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6,-120] |
[a1,a2,a3,a4,a6] |
j |
-438976/93615 |
j-invariant |
L |
4.2692377801448 |
L(r)(E,1)/r! |
Ω |
1.0673094450404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37920k1 75840by2 113760v1 |
Quadratic twists by: -4 8 -3 |