Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39440a |
Isogeny class |
Conductor |
39440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
496047923200000 = 216 · 55 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 2 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24043,-954342] |
[a1,a2,a3,a4,a6] |
j |
375257804602689/121105450000 |
j-invariant |
L |
0.78644130496618 |
L(r)(E,1)/r! |
Ω |
0.393220652498 |
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 |
4930e1 |
Quadratic twists by: -4 |