Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591j |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-57405380570742897 = -1 · 38 · 74 · 118 · 17 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,62050,-9889162] |
[a1,a2,a3,a4,a6] |
Generators |
[201:3166:1] |
Generators of the group modulo torsion |
j |
20458415375/44449713 |
j-invariant |
L |
2.8197827529701 |
L(r)(E,1)/r! |
Ω |
0.1830199710458 |
Real period |
R |
1.925870956261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999928177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43197l2 11781j2 |
Quadratic twists by: -3 -11 |