Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126fd |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
416336527554948 = 22 · 313 · 73 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32234,-1991419] |
[a1,a2,a3,a4,a6] |
Generators |
[-8268:8233:64] |
Generators of the group modulo torsion |
j |
14812625308879/1665033084 |
j-invariant |
L |
13.368210080789 |
L(r)(E,1)/r! |
Ω |
0.35890961957875 |
Real period |
R |
4.6558414049892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999558056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042br1 126126ev1 |
Quadratic twists by: -3 -7 |