Atkin-Lehner |
2+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16544b |
Isogeny class |
Conductor |
16544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-99528704 = -1 · 212 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ -1 -1 -2 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-221,1429] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:44:1] [-12:47:1] |
Generators of the group modulo torsion |
j |
-292754944/24299 |
j-invariant |
L |
5.4528964302022 |
L(r)(E,1)/r! |
Ω |
1.853871672248 |
Real period |
R |
0.73533898163377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16544d1 33088c1 |
Quadratic twists by: -4 8 |