Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672q |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
3246143472741019968 = 26 · 314 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4414449,3568903468] |
[a1,a2,a3,a4,a6] |
j |
42246001231552/14414517 |
j-invariant |
L |
0.98736929133693 |
L(r)(E,1)/r! |
Ω |
0.24684232283656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48672br1 97344cf2 16224u1 3744l1 |
Quadratic twists by: -4 8 -3 13 |