Atkin-Lehner |
2- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
127088l |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
1009459984 = 24 · 134 · 472 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 3 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-394,-2729] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] |
Generators of the group modulo torsion |
j |
14839552/2209 |
j-invariant |
L |
6.387122480386 |
L(r)(E,1)/r! |
Ω |
1.0820331691267 |
Real period |
R |
0.98381496302029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999166435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31772a1 127088e1 |
Quadratic twists by: -4 13 |