Atkin-Lehner |
5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4165c |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
19320 |
Modular degree for the optimal curve |
Δ |
88507710353125 = 55 · 78 · 173 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ -6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-181561,29713191] |
[a1,a2,a3,a4,a6] |
j |
114817869021184/15353125 |
j-invariant |
L |
0.58261006447603 |
L(r)(E,1)/r! |
Ω |
0.58261006447603 |
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 |
66640z1 37485bi1 20825a1 4165i1 |
Quadratic twists by: -4 -3 5 -7 |