Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8120i |
Isogeny class |
Conductor |
8120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
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 |
2.2181078054137 |
L(r)(E,1)/r! |
Ω |
2.2181078054137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16240h1 64960b1 73080g1 40600g1 |
Quadratic twists by: -4 8 -3 5 |