Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bs |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2026796406336 = 26 · 38 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3549,43940] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1890:1] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
5.3086911118568 |
L(r)(E,1)/r! |
Ω |
0.75030934161849 |
Real period |
R |
3.5376682771795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48672r1 97344cj2 16224e1 288c1 |
Quadratic twists by: -4 8 -3 13 |