Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dn |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1449805713408 = 212 · 36 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4260,-89984] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:117:1] |
Generators of the group modulo torsion |
j |
2863288000/485537 |
j-invariant |
L |
4.6022687275415 |
L(r)(E,1)/r! |
Ω |
0.5977716298156 |
Real period |
R |
0.96238020896991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dm1 63648d1 14144w1 |
Quadratic twists by: -4 8 -3 |