Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22990z |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
17920402451600 = 24 · 52 · 119 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64556,6283069] |
[a1,a2,a3,a4,a6] |
j |
16794916941529/10115600 |
j-invariant |
L |
5.4619367578831 |
L(r)(E,1)/r! |
Ω |
0.68274209473538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950be1 2090b1 |
Quadratic twists by: 5 -11 |