Atkin-Lehner |
2- 3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39996d |
Isogeny class |
Conductor |
39996 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
1662653558016 = 28 · 312 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- -5 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3576,-54092] |
[a1,a2,a3,a4,a6] |
j |
27098718208/8909109 |
j-invariant |
L |
2.5344103129654 |
L(r)(E,1)/r! |
Ω |
0.63360257827193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13332d1 |
Quadratic twists by: -3 |