Atkin-Lehner |
2- 3+ 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682bf |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
582400 |
Modular degree for the optimal curve |
Δ |
-427291540955136 = -1 · 213 · 33 · 112 · 135 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11- 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48239,4209527] |
[a1,a2,a3,a4,a6] |
Generators |
[1857:-30686:27] [-1290:22949:8] |
Generators of the group modulo torsion |
j |
-459776104556546259/15825612627968 |
j-invariant |
L |
14.360041436922 |
L(r)(E,1)/r! |
Ω |
0.52712236705418 |
Real period |
R |
0.10477819202605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682c1 |
Quadratic twists by: -3 |