Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16660a |
Isogeny class |
Conductor |
16660 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
125442069760 = 28 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10061,384719] |
[a1,a2,a3,a4,a6] |
j |
76324864/85 |
j-invariant |
L |
1.0399876223816 |
L(r)(E,1)/r! |
Ω |
1.0399876223816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
66640v1 83300c1 16660j1 |
Quadratic twists by: -4 5 -7 |