Atkin-Lehner |
2+ 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8466h |
Isogeny class |
Conductor |
8466 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
626348544 = 29 · 3 · 173 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 0 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24005,-1433488] |
[a1,a2,a3,a4,a6] |
Generators |
[-154788:76853:1728] |
Generators of the group modulo torsion |
j |
1529687915453802313/626348544 |
j-invariant |
L |
2.5101472954093 |
L(r)(E,1)/r! |
Ω |
0.38355381345532 |
Real period |
R |
6.5444461959487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67728n2 25398s2 |
Quadratic twists by: -4 -3 |