Atkin-Lehner |
2- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110bu |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
147912701640704000 = 220 · 53 · 72 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-242023,-41865953] |
[a1,a2,a3,a4,a6] |
j |
884984855328729/83492864000 |
j-invariant |
L |
4.3309733497742 |
L(r)(E,1)/r! |
Ω |
0.21654865955882 |
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 |
910a1 |
Quadratic twists by: -11 |