Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bn |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
387037945958400 = 212 · 310 · 52 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-198743,-34039569] |
[a1,a2,a3,a4,a6] |
j |
1190884543636720681/530916249600 |
j-invariant |
L |
5.4268726092788 |
L(r)(E,1)/r! |
Ω |
0.22611969205328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7590g2 113850be2 |
Quadratic twists by: -3 5 |