Atkin-Lehner |
2- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13294f |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
227613509436833792 = 220 · 177 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-152791,1281647] |
[a1,a2,a3,a4,a6] |
j |
16342588257633/9429843968 |
j-invariant |
L |
2.6719403028971 |
L(r)(E,1)/r! |
Ω |
0.26719403028971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106352q1 119646y1 782e1 |
Quadratic twists by: -4 -3 17 |