Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cb |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-6434049024 = -1 · 210 · 37 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456,920] |
[a1,a2,a3,a4,a6] |
Generators |
[830:23920:1] |
Generators of the group modulo torsion |
j |
14047232/8619 |
j-invariant |
L |
7.8471989982606 |
L(r)(E,1)/r! |
Ω |
0.82463228740127 |
Real period |
R |
4.757998857265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296e1 31824p1 42432bo1 |
Quadratic twists by: -4 8 -3 |