Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20172g |
Isogeny class |
Conductor |
20172 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
165312 |
Modular degree for the optimal curve |
Δ |
55191803183684352 = 28 · 33 · 418 |
Discriminant |
Eigenvalues |
2- 3- 0 2 3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114868,-9876124] |
[a1,a2,a3,a4,a6] |
j |
82000/27 |
j-invariant |
L |
3.1938996214765 |
L(r)(E,1)/r! |
Ω |
0.26615830178971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
80688q1 60516n1 20172a1 |
Quadratic twists by: -4 -3 41 |