Atkin-Lehner |
3- 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86583bc |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
16558080 |
Modular degree for the optimal curve |
Δ |
-7.1678456766457E+23 |
Discriminant |
Eigenvalues |
2 3- 2 7- 0 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13810438,35627565509] |
[a1,a2,a3,a4,a6] |
Generators |
[24986:2644079:8] |
Generators of the group modulo torsion |
j |
7218777866541756416/17762589789422661 |
j-invariant |
L |
19.455067834725 |
L(r)(E,1)/r! |
Ω |
0.063037121979021 |
Real period |
R |
2.338096551422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86583g1 |
Quadratic twists by: -7 |