Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16660h |
Isogeny class |
Conductor |
16660 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
160002640 = 24 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,-19551] |
[a1,a2,a3,a4,a6] |
j |
151732224/85 |
j-invariant |
L |
2.3534061507639 |
L(r)(E,1)/r! |
Ω |
0.7844687169213 |
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 |
66640ca1 83300t1 340a1 |
Quadratic twists by: -4 5 -7 |