Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960n |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
751161600 = 28 · 36 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-423,-3078] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:10:1] |
Generators of the group modulo torsion |
j |
44851536/4025 |
j-invariant |
L |
3.9451943066752 |
L(r)(E,1)/r! |
Ω |
1.0587620468714 |
Real period |
R |
1.8631166078944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920w1 6440g1 |
Quadratic twists by: -4 -3 |