Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244w |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
2728561649938032384 = 28 · 312 · 710 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-785127,-255701698] |
[a1,a2,a3,a4,a6] |
Generators |
[-12723:83798:27] |
Generators of the group modulo torsion |
j |
1015302736/51759 |
j-invariant |
L |
7.2555728614441 |
L(r)(E,1)/r! |
Ω |
0.16089333031852 |
Real period |
R |
7.5159246099544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748e1 125244i1 |
Quadratic twists by: -3 -7 |