Atkin-Lehner |
2- 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8844a |
Isogeny class |
Conductor |
8844 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-61125127987968 = -1 · 28 · 38 · 112 · 673 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6325,-420959] |
[a1,a2,a3,a4,a6] |
j |
-109328653090816/238770031203 |
j-invariant |
L |
1.0026543133931 |
L(r)(E,1)/r! |
Ω |
0.25066357834829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35376bk1 26532g1 97284e1 |
Quadratic twists by: -4 -3 -11 |