Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32798b |
Isogeny class |
Conductor |
32798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
422198355428 = 22 · 237 · 31 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8210,-288064] |
[a1,a2,a3,a4,a6] |
Generators |
[-10340655:2771048:185193] |
Generators of the group modulo torsion |
j |
413493625/2852 |
j-invariant |
L |
4.2308388819052 |
L(r)(E,1)/r! |
Ω |
0.50175001706204 |
Real period |
R |
8.4321648989238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1426a1 |
Quadratic twists by: -23 |