Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808bf |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
916883712 = 28 · 36 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,578] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
2000 |
j-invariant |
L |
4.5591188308603 |
L(r)(E,1)/r! |
Ω |
1.3928730278607 |
Real period |
R |
0.81829404756701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41616s1 2312a1 20808bd1 |
Quadratic twists by: -4 -3 17 |