Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20808bi |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-172574648862768 = -1 · 24 · 317 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 6 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8670,704293] |
[a1,a2,a3,a4,a6] |
j |
-73984000/177147 |
j-invariant |
L |
2.0250066768301 |
L(r)(E,1)/r! |
Ω |
0.50625166920753 |
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 |
41616be1 6936f1 20808bc1 |
Quadratic twists by: -4 -3 17 |