Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286j |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6201600 |
Modular degree for the optimal curve |
Δ |
-1.8108913617503E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 11- 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13884264,-4755319488] |
[a1,a2,a3,a4,a6] |
Generators |
[1463976887471:-123845240217770:444194947] |
Generators of the group modulo torsion |
j |
167084491388439286943/102220096386760704 |
j-invariant |
L |
4.4450439728348 |
L(r)(E,1)/r! |
Ω |
0.058634688516945 |
Real period |
R |
18.952279296027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4026g1 |
Quadratic twists by: -11 |