Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16240h |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
14210000 = 24 · 54 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-482,-4069] |
[a1,a2,a3,a4,a6] |
j |
774006921216/888125 |
j-invariant |
L |
2.0379696499883 |
L(r)(E,1)/r! |
Ω |
1.0189848249942 |
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 |
8120i1 64960bg1 81200f1 113680e1 |
Quadratic twists by: -4 8 5 -7 |