Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256bm |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
520058653500672 = 28 · 36 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59895,5534298] |
[a1,a2,a3,a4,a6] |
Generators |
[4719:17182:27] [-29:2692:1] |
Generators of the group modulo torsion |
j |
594000/13 |
j-invariant |
L |
12.200071240009 |
L(r)(E,1)/r! |
Ω |
0.5210368304399 |
Real period |
R |
1.9512490168504 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584a1 113256v1 |
Quadratic twists by: -3 -11 |