Atkin-Lehner |
2- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
66352q |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
66147840 |
Modular degree for the optimal curve |
Δ |
-7.7470935275221E+29 |
Discriminant |
Eigenvalues |
2- -1 3 1 11- 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2207903576,14097653461616] |
[a1,a2,a3,a4,a6] |
Generators |
[-217420:400235264:125] |
Generators of the group modulo torsion |
j |
290605662666279325370952010583/189138025574269452879570944 |
j-invariant |
L |
7.129719188874 |
L(r)(E,1)/r! |
Ω |
0.017730924831259 |
Real period |
R |
0.46540098051151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8294a1 |
Quadratic twists by: -4 |