Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42570v |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
19342186624916100 = 22 · 310 · 52 · 116 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-343778,-77207619] |
[a1,a2,a3,a4,a6] |
j |
6163526129192423641/26532491940900 |
j-invariant |
L |
2.3665945395339 |
L(r)(E,1)/r! |
Ω |
0.19721621163611 |
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 |
14190d2 |
Quadratic twists by: -3 |