Atkin-Lehner |
2- 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860m |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
36702410393797200 = 24 · 310 · 52 · 133 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142068,-18434783] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:58:1] [-244:1305:1] |
Generators of the group modulo torsion |
j |
27187232484868096/3146640122925 |
j-invariant |
L |
9.265895492618 |
L(r)(E,1)/r! |
Ω |
0.24776525278507 |
Real period |
R |
1.5582450505868 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620g1 |
Quadratic twists by: -3 |