Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562p |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-658593925444 = -1 · 22 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 2 3 7- -6 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33296,-2352748] |
[a1,a2,a3,a4,a6] |
j |
-1214950633/196 |
j-invariant |
L |
2.827389392453 |
L(r)(E,1)/r! |
Ω |
0.17671183702831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366e1 16562bq1 |
Quadratic twists by: -7 13 |