Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16048a |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15149312 = 28 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71,134] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
154617552/59177 |
j-invariant |
L |
2.8714376792892 |
L(r)(E,1)/r! |
Ω |
2.0186889727413 |
Real period |
R |
1.4224269900231 |
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 |
8024d2 64192bu2 |
Quadratic twists by: -4 8 |