Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bu |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
4964250291131250000 = 24 · 39 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-565950,123951625] |
[a1,a2,a3,a4,a6] |
Generators |
[-784:9261:1] |
Generators of the group modulo torsion |
j |
2725888/675 |
j-invariant |
L |
7.0057851512461 |
L(r)(E,1)/r! |
Ω |
0.22791405924667 |
Real period |
R |
1.9211696413815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400dy1 17640bz1 88200bv1 |
Quadratic twists by: -3 5 -7 |