Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6084n |
Isogeny class |
Conductor |
6084 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
6587088320592 = 24 · 38 · 137 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8112,-252655] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:169:1] |
Generators of the group modulo torsion |
j |
1048576/117 |
j-invariant |
L |
3.063223223012 |
L(r)(E,1)/r! |
Ω |
0.50670528539183 |
Real period |
R |
0.50378121025571 |
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 |
24336cb1 97344ct1 2028c1 468e1 |
Quadratic twists by: -4 8 -3 13 |