Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57536m |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
49549082624 = 216 · 293 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -3 0 -2 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1004,5936] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:116:1] |
Generators of the group modulo torsion |
j |
1707831108/756059 |
j-invariant |
L |
4.1955566551212 |
L(r)(E,1)/r! |
Ω |
1.0144281140633 |
Real period |
R |
0.68931394231816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57536v1 7192a1 |
Quadratic twists by: -4 8 |