Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120z |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
215168000 = 210 · 53 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221,979] |
[a1,a2,a3,a4,a6] |
j |
1171019776/210125 |
j-invariant |
L |
1.6898534647718 |
L(r)(E,1)/r! |
Ω |
1.6898534647718 |
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 |
13120d1 3280b1 118080fw1 65600bi1 |
Quadratic twists by: -4 8 -3 5 |