Atkin-Lehner |
13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
8957c |
Isogeny class |
Conductor |
8957 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
562038466769 = 139 · 53 |
Discriminant |
Eigenvalues |
1 0 -2 2 6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3158,-57225] |
[a1,a2,a3,a4,a6] |
Generators |
[68468478:-3660781827:24389] |
Generators of the group modulo torsion |
j |
328509/53 |
j-invariant |
L |
4.7273618677357 |
L(r)(E,1)/r! |
Ω |
0.64380507919943 |
Real period |
R |
14.685692985256 |
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 |
80613p1 8957d1 |
Quadratic twists by: -3 13 |