Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504p |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1007681536 = 220 · 312 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 3 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289,-1217] |
[a1,a2,a3,a4,a6] |
j |
10633/4 |
j-invariant |
L |
4.7783508783622 |
L(r)(E,1)/r! |
Ω |
1.1945877185417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504bv1 1922b1 61504g1 |
Quadratic twists by: -4 8 -31 |