Atkin-Lehner |
2- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8710j |
Isogeny class |
Conductor |
8710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-964683366400 = -1 · 218 · 52 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- 4 4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2213,-25589] |
[a1,a2,a3,a4,a6] |
j |
1199090390129919/964683366400 |
j-invariant |
L |
4.3992403103933 |
L(r)(E,1)/r! |
Ω |
0.48880447893259 |
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 |
69680y1 78390j1 43550g1 113230a1 |
Quadratic twists by: -4 -3 5 13 |