Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592bb |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-5550944256 = -1 · 212 · 36 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11+ 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-3728] |
[a1,a2,a3,a4,a6] |
Generators |
[2445:13:125] |
Generators of the group modulo torsion |
j |
-262144/1859 |
j-invariant |
L |
6.1048369873995 |
L(r)(E,1)/r! |
Ω |
0.56866783467428 |
Real period |
R |
5.3676651070798 |
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 |
1287d1 82368fb1 2288i1 |
Quadratic twists by: -4 8 -3 |