Atkin-Lehner |
2- 7+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
129584g |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2778624 |
Modular degree for the optimal curve |
Δ |
2.0744959111054E+20 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1643771,421644330] |
[a1,a2,a3,a4,a6] |
Generators |
[-817:34918:1] |
Generators of the group modulo torsion |
j |
119918919500865081297/50646872829722624 |
j-invariant |
L |
3.5430136834848 |
L(r)(E,1)/r! |
Ω |
0.16087930533653 |
Real period |
R |
5.5057014637655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999321518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16198j1 |
Quadratic twists by: -4 |