Atkin-Lehner |
2- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
15656i |
Isogeny class |
Conductor |
15656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
11303632 = 24 · 193 · 103 |
Discriminant |
Eigenvalues |
2- -3 0 -5 2 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70,157] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:19:1] [-2:17:1] |
Generators of the group modulo torsion |
j |
2370816000/706477 |
j-invariant |
L |
4.0315656450383 |
L(r)(E,1)/r! |
Ω |
2.105827206952 |
Real period |
R |
0.31908012456499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31312c1 125248n1 |
Quadratic twists by: -4 8 |