Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592bo |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-39016121726140416 = -1 · 226 · 37 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47811,-10320190] |
[a1,a2,a3,a4,a6] |
j |
-4047806261953/13066420224 |
j-invariant |
L |
1.1899762209572 |
L(r)(E,1)/r! |
Ω |
0.14874702761965 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2574f1 82368eh1 6864k1 |
Quadratic twists by: -4 8 -3 |