Atkin-Lehner |
2- 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
16590v |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
4193952000 = 28 · 3 · 53 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-476,-2544] |
[a1,a2,a3,a4,a6] |
j |
11928932826049/4193952000 |
j-invariant |
L |
4.2066115066341 |
L(r)(E,1)/r! |
Ω |
1.0516528766585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770y1 82950n1 116130cs1 |
Quadratic twists by: -3 5 -7 |