Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504by |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1803066678378496 = -1 · 216 · 317 |
Discriminant |
Eigenvalues |
2- 2 -2 0 -2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29471,-627711] |
[a1,a2,a3,a4,a6] |
Generators |
[57509524995:-1044015085504:291434247] |
Generators of the group modulo torsion |
j |
48668/31 |
j-invariant |
L |
7.3122259023795 |
L(r)(E,1)/r! |
Ω |
0.26968711837393 |
Real period |
R |
13.556869060877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504y1 15376n1 1984l1 |
Quadratic twists by: -4 8 -31 |