Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16184b |
Isogeny class |
Conductor |
16184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
5950265291113472 = 210 · 72 · 179 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67144,5551872] |
[a1,a2,a3,a4,a6] |
j |
275684/49 |
j-invariant |
L |
0.81077843476143 |
L(r)(E,1)/r! |
Ω |
0.40538921738072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32368d1 129472i1 113288x1 16184f1 |
Quadratic twists by: -4 8 -7 17 |