Atkin-Lehner |
5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855l |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
555520 |
Modular degree for the optimal curve |
Δ |
-15995971407205955 = -1 · 5 · 112 · 319 |
Discriminant |
Eigenvalues |
2 -1 5- 4 11- -2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9930,-6093639] |
[a1,a2,a3,a4,a6] |
j |
-4096/605 |
j-invariant |
L |
6.2730085958112 |
L(r)(E,1)/r! |
Ω |
0.17425023881686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52855f1 |
Quadratic twists by: -31 |