Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920ca |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
4367264040000 = 26 · 310 · 54 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4197,29036] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:344:1] |
Generators of the group modulo torsion |
j |
175239948736/93605625 |
j-invariant |
L |
5.8373253632747 |
L(r)(E,1)/r! |
Ω |
0.67969353898895 |
Real period |
R |
2.147043126141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61920q1 123840bf2 20640a1 |
Quadratic twists by: -4 8 -3 |