Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926bk |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
6844061952 = 28 · 36 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-620,-4464] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:46:1] |
Generators of the group modulo torsion |
j |
26359827238081/6844061952 |
j-invariant |
L |
7.1582836270732 |
L(r)(E,1)/r! |
Ω |
0.97514815190468 |
Real period |
R |
0.30586308061205 |
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 |
50778m1 118482cg1 |
Quadratic twists by: -3 -7 |