Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808d |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-24755860224 = -1 · 28 · 39 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 -1 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,-31212] |
[a1,a2,a3,a4,a6] |
Generators |
[102:918:1] |
Generators of the group modulo torsion |
j |
-27648 |
j-invariant |
L |
5.3120843230163 |
L(r)(E,1)/r! |
Ω |
0.36389808897407 |
Real period |
R |
0.91235782832642 |
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 |
41616f1 20808y1 20808e1 |
Quadratic twists by: -4 -3 17 |