Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642v |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
29586788352 = 212 · 34 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1009,9065] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:83:1] [-22:155:1] |
Generators of the group modulo torsion |
j |
85358358827/22228992 |
j-invariant |
L |
13.311726086996 |
L(r)(E,1)/r! |
Ω |
1.1015337505813 |
Real period |
R |
0.50352996749499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48642k1 |
Quadratic twists by: -11 |