Atkin-Lehner |
2- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52030z |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
812160 |
Modular degree for the optimal curve |
Δ |
-47227573605498880 = -1 · 218 · 5 · 117 · 432 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-887840,-322239488] |
[a1,a2,a3,a4,a6] |
j |
-43688964783576601/26658734080 |
j-invariant |
L |
1.3997242608132 |
L(r)(E,1)/r! |
Ω |
0.077762459024939 |
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 |
4730c1 |
Quadratic twists by: -11 |