Atkin-Lehner |
2+ 3- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274p |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
1.4295764119447E+22 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -4 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15299613,22307898757] |
[a1,a2,a3,a4,a6] |
Generators |
[2867:43328:1] |
Generators of the group modulo torsion |
j |
543297287214012431135953/19610101672766603264 |
j-invariant |
L |
5.6037848692548 |
L(r)(E,1)/r! |
Ω |
0.12422022388892 |
Real period |
R |
1.127792375487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586e1 |
Quadratic twists by: -3 |