Atkin-Lehner |
2+ 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10318d |
Isogeny class |
Conductor |
10318 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1138368 |
Modular degree for the optimal curve |
Δ |
3.6762885597628E+22 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35206759,-79889496267] |
[a1,a2,a3,a4,a6] |
Generators |
[-146477687130472284834:-908074057801249418927:42628879950938289] |
Generators of the group modulo torsion |
j |
4826161753845865279803871993/36762885597628361228288 |
j-invariant |
L |
5.2043850466266 |
L(r)(E,1)/r! |
Ω |
0.062007253779291 |
Real period |
R |
27.977291523296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82544bb1 92862bm1 72226g1 113498x1 |
Quadratic twists by: -4 -3 -7 -11 |