Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560ch |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1105457141514240 = -1 · 218 · 313 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23973,-719606] |
[a1,a2,a3,a4,a6] |
Generators |
[1565:62208:1] |
Generators of the group modulo torsion |
j |
510273943271/370215360 |
j-invariant |
L |
4.3028794031965 |
L(r)(E,1)/r! |
Ω |
0.2750975264711 |
Real period |
R |
1.9551608925719 |
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 |
2070r1 66240fe1 5520z1 82800dl1 |
Quadratic twists by: -4 8 -3 5 |