Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57536l |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3310391296 = 212 · 292 · 312 |
Discriminant |
Eigenvalues |
2+ 0 2 4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1204,15840] |
[a1,a2,a3,a4,a6] |
Generators |
[3060:169260:1] |
Generators of the group modulo torsion |
j |
47124116928/808201 |
j-invariant |
L |
7.9492178560654 |
L(r)(E,1)/r! |
Ω |
1.4153001628354 |
Real period |
R |
5.6166303549325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57536i2 28768a1 |
Quadratic twists by: -4 8 |