Atkin-Lehner |
2- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59168j |
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] |
Generators |
[26:4:1] |
Generators of the group modulo torsion |
j |
6474457024 |
j-invariant |
L |
3.8499566376671 |
L(r)(E,1)/r! |
Ω |
2.5978133460021 |
Real period |
R |
0.74099947244402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59168f1 118336k1 59168b1 |
Quadratic twists by: -4 8 -43 |