Atkin-Lehner |
2- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15884b |
Isogeny class |
Conductor |
15884 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
57456 |
Modular degree for the optimal curve |
Δ |
47825713523456 = 28 · 11 · 198 |
Discriminant |
Eigenvalues |
2- -2 3 -1 11+ -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16004,699364] |
[a1,a2,a3,a4,a6] |
j |
104272/11 |
j-invariant |
L |
0.61707899601958 |
L(r)(E,1)/r! |
Ω |
0.61707899601958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63536bg1 15884g1 |
Quadratic twists by: -4 -19 |