Atkin-Lehner |
2- 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610w |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
-150424375050 = -1 · 2 · 314 · 52 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,832,-16419] |
[a1,a2,a3,a4,a6] |
Generators |
[310:2001:8] |
Generators of the group modulo torsion |
j |
87469256519/206343450 |
j-invariant |
L |
7.5813331898556 |
L(r)(E,1)/r! |
Ω |
0.53213369591844 |
Real period |
R |
3.5617614746299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18870f1 |
Quadratic twists by: -3 |