Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62868j |
Isogeny class |
Conductor |
62868 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-3047870162561328 = -1 · 24 · 35 · 138 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9013,-2679520] |
[a1,a2,a3,a4,a6] |
j |
-1048576000/39465387 |
j-invariant |
L |
1.9641995575986 |
L(r)(E,1)/r! |
Ω |
0.19641995630987 |
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 |
4836c1 |
Quadratic twists by: 13 |