Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672by |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-13625044992 = -1 · 212 · 39 · 132 |
Discriminant |
Eigenvalues |
2- 3- 4 3 -2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,-5200] |
[a1,a2,a3,a4,a6] |
Generators |
[25:135:1] |
Generators of the group modulo torsion |
j |
6656/27 |
j-invariant |
L |
8.7983036913999 |
L(r)(E,1)/r! |
Ω |
0.63641780097328 |
Real period |
R |
1.7280911372142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672w1 97344cy1 16224g1 48672x1 |
Quadratic twists by: -4 8 -3 13 |