Atkin-Lehner |
2- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52514v |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
84672000 |
Modular degree for the optimal curve |
Δ |
-3.002657381786E+28 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9145147998,-336719574585404] |
[a1,a2,a3,a4,a6] |
j |
-47746310242879869583883397625/16949218129017342902272 |
j-invariant |
L |
1.9451950995007 |
L(r)(E,1)/r! |
Ω |
0.0077190281809726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774e1 |
Quadratic twists by: -11 |