Atkin-Lehner |
2+ 3- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274y |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
476160 |
Modular degree for the optimal curve |
Δ |
502777436309568 = 26 · 316 · 7 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28386,-1484460] |
[a1,a2,a3,a4,a6] |
Generators |
[115080:893805:512] |
Generators of the group modulo torsion |
j |
3469903405095457/689680982592 |
j-invariant |
L |
6.5500024808399 |
L(r)(E,1)/r! |
Ω |
0.3729184214661 |
Real period |
R |
4.3910424647582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999735068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37758u1 |
Quadratic twists by: -3 |