Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15884d |
Isogeny class |
Conductor |
15884 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
1016576 = 28 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 3 -3 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-551,-4978] |
[a1,a2,a3,a4,a6] |
Generators |
[-6904:113:512] |
Generators of the group modulo torsion |
j |
200184912/11 |
j-invariant |
L |
4.9962847830648 |
L(r)(E,1)/r! |
Ω |
0.98540120011231 |
Real period |
R |
5.0703051533683 |
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 |
63536bk1 15884a1 |
Quadratic twists by: -4 -19 |