Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560ba |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-2.8878361869681E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9047403,-13287722598] |
[a1,a2,a3,a4,a6] |
Generators |
[32006682:2220451326:4913] |
Generators of the group modulo torsion |
j |
-1015884369980369163/358196480000000 |
j-invariant |
L |
3.6594173016419 |
L(r)(E,1)/r! |
Ω |
0.042766633543553 |
Real period |
R |
10.695888939666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2070j1 66240ec1 16560bc1 82800ci1 |
Quadratic twists by: -4 8 -3 5 |