Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808a |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2836260907776 = -1 · 28 · 33 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -3 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3468,19652] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1734:1] |
Generators of the group modulo torsion |
j |
27648/17 |
j-invariant |
L |
5.6475196917971 |
L(r)(E,1)/r! |
Ω |
0.49677166711476 |
Real period |
R |
0.35526380035657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616a1 20808u1 1224a1 |
Quadratic twists by: -4 -3 17 |