Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376bz |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
9.3509530582428E+18 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2027734,-1100928296] |
[a1,a2,a3,a4,a6] |
j |
122458422894369472/1241902961649 |
j-invariant |
L |
0.50637547916239 |
L(r)(E,1)/r! |
Ω |
0.126593896054 |
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 |
89376cp1 12768v1 |
Quadratic twists by: -4 -7 |