Atkin-Lehner |
2- 5+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88450p |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
2632979600000000000 = 213 · 511 · 29 · 613 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -2 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-395005,55196997] |
[a1,a2,a3,a4,a6] |
Generators |
[-687:1746:1] [-561:10280:1] |
Generators of the group modulo torsion |
j |
436224882493411929/168510694400000 |
j-invariant |
L |
14.353059251676 |
L(r)(E,1)/r! |
Ω |
0.23337836524605 |
Real period |
R |
0.39423872892476 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17690c1 |
Quadratic twists by: 5 |