Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680cp |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
825200640 = 212 · 32 · 5 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-496,3860] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:66:1] |
Generators of the group modulo torsion |
j |
3301293169/201465 |
j-invariant |
L |
8.4836069111827 |
L(r)(E,1)/r! |
Ω |
1.5605257272789 |
Real period |
R |
1.3590943672862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6105c1 |
Quadratic twists by: -4 |