Atkin-Lehner |
2- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44096s |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
180617216 = 218 · 13 · 53 |
Discriminant |
Eigenvalues |
2- -2 2 -2 2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-897,-10625] |
[a1,a2,a3,a4,a6] |
j |
304821217/689 |
j-invariant |
L |
0.87240890119436 |
L(r)(E,1)/r! |
Ω |
0.87240890141942 |
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 |
44096j1 11024f1 |
Quadratic twists by: -4 8 |