Atkin-Lehner |
2+ 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
96560a |
Isogeny class |
Conductor |
96560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2327040 |
Modular degree for the optimal curve |
Δ |
1.603046875E+20 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 0 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1429776,248394740] |
[a1,a2,a3,a4,a6] |
Generators |
[25422:1953125:216] |
Generators of the group modulo torsion |
j |
157833094681999116578/78273773193359375 |
j-invariant |
L |
8.8282154822698 |
L(r)(E,1)/r! |
Ω |
0.16127190902364 |
Real period |
R |
3.421324089875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48280b1 |
Quadratic twists by: -4 |