Atkin-Lehner |
2+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
59168f |
Isogeny class |
Conductor |
59168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
118336 = 26 · 432 |
Discriminant |
Eigenvalues |
2+ 1 -1 1 -4 1 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1906,-32672] |
[a1,a2,a3,a4,a6] |
j |
6474457024 |
j-invariant |
L |
1.4450399141875 |
L(r)(E,1)/r! |
Ω |
0.72251995839404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59168j1 118336n1 59168h1 |
Quadratic twists by: -4 8 -43 |