Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376cp |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
391488985519091712 = 212 · 38 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32364369,70856986815] |
[a1,a2,a3,a4,a6] |
j |
7779952936541447488/812402703 |
j-invariant |
L |
3.7044314607695 |
L(r)(E,1)/r! |
Ω |
0.23152697158482 |
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 |
89376bz4 12768p2 |
Quadratic twists by: -4 -7 |