Atkin-Lehner |
3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9945i |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
79640206425 = 38 · 52 · 134 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 4 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1224,-9045] |
[a1,a2,a3,a4,a6] |
j |
278317173889/109245825 |
j-invariant |
L |
3.3387239745598 |
L(r)(E,1)/r! |
Ω |
0.83468099363995 |
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 |
3315e1 49725j1 129285t1 |
Quadratic twists by: -3 5 13 |