Atkin-Lehner |
13+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123539a |
Isogeny class |
Conductor |
123539 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25640863753193 = 138 · 17 · 432 |
Discriminant |
Eigenvalues |
1 -2 2 -4 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13355,540633] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1055:1] |
Generators of the group modulo torsion |
j |
54569318257/5312177 |
j-invariant |
L |
4.0520603049204 |
L(r)(E,1)/r! |
Ω |
0.65149308268133 |
Real period |
R |
3.1098261201759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997375353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9503b2 |
Quadratic twists by: 13 |