Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150cn |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
20736000 |
Modular degree for the optimal curve |
Δ |
-2.1130269793091E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,84248187,632887735617] |
[a1,a2,a3,a4,a6] |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
7.9439248491292 |
L(r)(E,1)/r! |
Ω |
0.039719624250988 |
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 |
10830g1 2850a1 |
Quadratic twists by: 5 -19 |