Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5746a |
Isogeny class |
Conductor |
5746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
16030740129092 = 22 · 138 · 173 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15833,746201] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:1152:1] |
Generators of the group modulo torsion |
j |
90942871473/3321188 |
j-invariant |
L |
1.9631540001101 |
L(r)(E,1)/r! |
Ω |
0.6917821194534 |
Real period |
R |
1.4189106258349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968h1 51714t1 442a1 97682b1 |
Quadratic twists by: -4 -3 13 17 |