Atkin-Lehner |
2- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7072g |
Isogeny class |
Conductor |
7072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
183872 = 26 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 -4 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18,-16] |
[a1,a2,a3,a4,a6] |
j |
10648000/2873 |
j-invariant |
L |
2.3538150092329 |
L(r)(E,1)/r! |
Ω |
2.3538150092329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7072a1 14144d2 63648j1 91936j1 |
Quadratic twists by: -4 8 -3 13 |