Atkin-Lehner |
2- 5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050cr |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
9139200 |
Modular degree for the optimal curve |
Δ |
4.8385090912256E+22 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 4 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12436930,-13149514303] |
[a1,a2,a3,a4,a6] |
Generators |
[-2695:29431:1] |
Generators of the group modulo torsion |
j |
108926414977542704541/24773166547075072 |
j-invariant |
L |
11.006923908706 |
L(r)(E,1)/r! |
Ω |
0.081705633267606 |
Real period |
R |
4.8112279278061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113050bl1 |
Quadratic twists by: 5 |