Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562bj |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-172181930648 = -1 · 23 · 73 · 137 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -1 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-764,21237] |
[a1,a2,a3,a4,a6] |
Generators |
[31:153:1] |
Generators of the group modulo torsion |
j |
-29791/104 |
j-invariant |
L |
4.8369668120723 |
L(r)(E,1)/r! |
Ω |
0.89053025715763 |
Real period |
R |
0.22631491992155 |
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 |
16562bg1 1274f1 |
Quadratic twists by: -7 13 |