Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504n |
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 |
[-7:4:1] [-1:8:1] |
Generators of the group modulo torsion |
j |
1984 |
j-invariant |
L |
10.860398942886 |
L(r)(E,1)/r! |
Ω |
2.1909909743499 |
Real period |
R |
1.2392108262904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504q1 30752b1 61504e1 |
Quadratic twists by: -4 8 -31 |