Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53816d |
Isogeny class |
Conductor |
53816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-394420835895296 = -1 · 211 · 7 · 317 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,-955412] |
[a1,a2,a3,a4,a6] |
Generators |
[3171:21142:27] |
Generators of the group modulo torsion |
j |
-2/217 |
j-invariant |
L |
3.0645351840875 |
L(r)(E,1)/r! |
Ω |
0.24388565222673 |
Real period |
R |
3.141364770839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107632e1 1736a1 |
Quadratic twists by: -4 -31 |