Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15884g |
Isogeny class |
Conductor |
15884 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
1016576 = 28 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 2 3 -1 11+ 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,-88] |
[a1,a2,a3,a4,a6] |
Generators |
[-284:27:64] |
Generators of the group modulo torsion |
j |
104272/11 |
j-invariant |
L |
8.1305608579551 |
L(r)(E,1)/r! |
Ω |
1.8628178349462 |
Real period |
R |
4.3646569758067 |
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 |
63536bq1 15884b1 |
Quadratic twists by: -4 -19 |