Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808x |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-11649816576 = -1 · 211 · 39 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,-6426] |
[a1,a2,a3,a4,a6] |
j |
-918 |
j-invariant |
L |
0.98903140033371 |
L(r)(E,1)/r! |
Ω |
0.49451570016685 |
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 |
41616h1 20808c1 20808ba1 |
Quadratic twists by: -4 -3 17 |