Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592q |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2593295688462336 = -1 · 212 · 39 · 114 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2349,-2449710] |
[a1,a2,a3,a4,a6] |
j |
17779581/32166277 |
j-invariant |
L |
0.84777113254232 |
L(r)(E,1)/r! |
Ω |
0.21194278313558 |
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 |
1287b1 82368dg1 20592v1 |
Quadratic twists by: -4 8 -3 |