Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808o |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-4246358141952 = -1 · 210 · 315 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 4 5 0 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,99110] |
[a1,a2,a3,a4,a6] |
j |
23324/19683 |
j-invariant |
L |
4.8621008061366 |
L(r)(E,1)/r! |
Ω |
0.60776260076708 |
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 |
41616bb1 6936j1 20808t1 |
Quadratic twists by: -4 -3 17 |