Atkin-Lehner |
13+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123539f |
Isogeny class |
Conductor |
123539 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
556608 |
Modular degree for the optimal curve |
Δ |
-1713167478207523 = -1 · 1310 · 172 · 43 |
Discriminant |
Eigenvalues |
0 2 -2 -2 5 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,19041,1709164] |
[a1,a2,a3,a4,a6] |
j |
5537792/12427 |
j-invariant |
L |
0.65629037055986 |
L(r)(E,1)/r! |
Ω |
0.32814468660678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123539e1 |
Quadratic twists by: 13 |