Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57536n |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-18882071501824 = -1 · 210 · 296 · 31 |
Discriminant |
Eigenvalues |
2+ 2 3 -1 0 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2231,-205839] |
[a1,a2,a3,a4,a6] |
Generators |
[587520:6511863:4913] |
Generators of the group modulo torsion |
j |
1198747703552/18439522951 |
j-invariant |
L |
11.479531904828 |
L(r)(E,1)/r! |
Ω |
0.33593726268408 |
Real period |
R |
5.6952756660076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57536w2 3596a2 |
Quadratic twists by: -4 8 |