Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190cy |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
456 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
1235337412608000 = 219 · 38 · 53 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -1 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-149770,22232612] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:5798:1] |
Generators of the group modulo torsion |
j |
2198425121541102649/7309688832000 |
j-invariant |
L |
13.692141772576 |
L(r)(E,1)/r! |
Ω |
0.48721372470984 |
Real period |
R |
0.061629271028202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190ba1 |
Quadratic twists by: 13 |