Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16428d |
Isogeny class |
Conductor |
16428 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
123031712764368 = 24 · 34 · 377 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12777,151452] |
[a1,a2,a3,a4,a6] |
Generators |
[-918:2769:8] |
Generators of the group modulo torsion |
j |
5619712/2997 |
j-invariant |
L |
5.8663329011284 |
L(r)(E,1)/r! |
Ω |
0.51480522550863 |
Real period |
R |
5.6976236938276 |
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 |
65712s1 49284k1 444b1 |
Quadratic twists by: -4 -3 37 |