Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808u |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2067634201768704 = -1 · 28 · 39 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 3 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31212,-530604] |
[a1,a2,a3,a4,a6] |
j |
27648/17 |
j-invariant |
L |
2.1504493236549 |
L(r)(E,1)/r! |
Ω |
0.26880616545686 |
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 |
41616b1 20808a1 1224f1 |
Quadratic twists by: -4 -3 17 |