Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490t |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7110656 |
Modular degree for the optimal curve |
Δ |
1.8947589297074E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22963275,-41827711419] |
[a1,a2,a3,a4,a6] |
Generators |
[64303189322255887786720434:6344193801944987221081979943:5344705860267527178859] |
Generators of the group modulo torsion |
j |
69477219631/983040 |
j-invariant |
L |
5.3956517016813 |
L(r)(E,1)/r! |
Ω |
0.069026068316171 |
Real period |
R |
39.08415936404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28830bu1 86490u1 |
Quadratic twists by: -3 -31 |