Atkin-Lehner |
2+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16168a |
Isogeny class |
Conductor |
16168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1984 |
Modular degree for the optimal curve |
Δ |
517376 = 28 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 2 3 0 0 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,-268] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:9:8] |
Generators of the group modulo torsion |
j |
259108432/2021 |
j-invariant |
L |
8.1732120689589 |
L(r)(E,1)/r! |
Ω |
1.5761734012052 |
Real period |
R |
2.5927388644896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32336e1 129344q1 |
Quadratic twists by: -4 8 |