Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432cd |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-65320722432 = -1 · 213 · 34 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,12564] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-168:1] |
Generators of the group modulo torsion |
j |
-765625/6642 |
j-invariant |
L |
6.8291986266946 |
L(r)(E,1)/r! |
Ω |
0.94319286419152 |
Real period |
R |
0.15084398637233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054a1 96432bk1 |
Quadratic twists by: -4 -7 |