Atkin-Lehner |
2- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13916a |
Isogeny class |
Conductor |
13916 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72864 |
Modular degree for the optimal curve |
Δ |
976215137296 = 24 · 74 · 714 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 1 2 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-247074,47188049] |
[a1,a2,a3,a4,a6] |
j |
43420464592836352/25411681 |
j-invariant |
L |
4.3471699270324 |
L(r)(E,1)/r! |
Ω |
0.72452832117206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664g1 125244l1 13916e1 |
Quadratic twists by: -4 -3 -7 |