Atkin-Lehner |
3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16965n |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
1374165 = 36 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 1 0 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19902,1080670] |
[a1,a2,a3,a4,a6] |
j |
1195876549033984/1885 |
j-invariant |
L |
1.7385236535015 |
L(r)(E,1)/r! |
Ω |
1.7385236535015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1885a1 84825s1 |
Quadratic twists by: -3 5 |