Atkin-Lehner |
2- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57536s |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
15082717184 = 224 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 0 -3 4 -2 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1964,32976] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:256:1] |
Generators of the group modulo torsion |
j |
3196010817/57536 |
j-invariant |
L |
4.6419730977705 |
L(r)(E,1)/r! |
Ω |
1.246784651724 |
Real period |
R |
0.93078886783456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57536a1 14384h1 |
Quadratic twists by: -4 8 |