Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504q |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
3936256 = 212 · 312 |
Discriminant |
Eigenvalues |
2+ -1 -1 1 -3 -3 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] [-1:4:1] |
Generators of the group modulo torsion |
j |
1984 |
j-invariant |
L |
7.6596167547332 |
L(r)(E,1)/r! |
Ω |
1.9851990276004 |
Real period |
R |
0.9645905332713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504n1 30752g1 61504a1 |
Quadratic twists by: -4 8 -31 |