Atkin-Lehner |
2- 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422z |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
3547152 = 24 · 34 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-69,-207] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] |
Generators of the group modulo torsion |
j |
36363385297/3547152 |
j-invariant |
L |
8.0150080851408 |
L(r)(E,1)/r! |
Ω |
1.6667471081094 |
Real period |
R |
1.2021931890784 |
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 |
49266w1 114954ca1 |
Quadratic twists by: -3 -7 |