Atkin-Lehner |
5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55055k |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
1108332850625 = 54 · 7 · 117 · 13 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3532,63814] |
[a1,a2,a3,a4,a6] |
j |
2749884201/625625 |
j-invariant |
L |
0.82015899708935 |
L(r)(E,1)/r! |
Ω |
0.820158997216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5005e1 |
Quadratic twists by: -11 |