Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562bk |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-278357534 = -1 · 2 · 77 · 132 |
Discriminant |
Eigenvalues |
2- -1 3 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,146,489] |
[a1,a2,a3,a4,a6] |
Generators |
[6:189:8] |
Generators of the group modulo torsion |
j |
17303/14 |
j-invariant |
L |
7.2458415571592 |
L(r)(E,1)/r! |
Ω |
1.1206453066895 |
Real period |
R |
1.6164440063922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366i1 16562m1 |
Quadratic twists by: -7 13 |