Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048q |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
969555968 = 214 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 0 0 -2 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19715,1065474] |
[a1,a2,a3,a4,a6] |
Generators |
[225:2832:1] |
Generators of the group modulo torsion |
j |
206896959473625/236708 |
j-invariant |
L |
3.7590690393531 |
L(r)(E,1)/r! |
Ω |
1.3202268841779 |
Real period |
R |
1.4236450887356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2006a1 64192bj1 |
Quadratic twists by: -4 8 |