Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6256f |
Isogeny class |
Conductor |
6256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-102498304 = -1 · 218 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[975:5950:27] |
Generators of the group modulo torsion |
j |
18191447/25024 |
j-invariant |
L |
5.9397524698501 |
L(r)(E,1)/r! |
Ω |
1.0045976244582 |
Real period |
R |
5.9125686993868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
782a1 25024n1 56304bp1 106352m1 |
Quadratic twists by: -4 8 -3 17 |