Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048t |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
82921762819407872 = 224 · 175 · 592 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-493424,-132850220] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:822:1] |
Generators of the group modulo torsion |
j |
3243586268529106417/20244571000832 |
j-invariant |
L |
1.7313820863326 |
L(r)(E,1)/r! |
Ω |
0.18020120761363 |
Real period |
R |
4.8040246490602 |
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 |
2006h1 64192bp1 |
Quadratic twists by: -4 8 |