Atkin-Lehner |
2+ 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8466g |
Isogeny class |
Conductor |
8466 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
270912 = 26 · 3 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86,296] |
[a1,a2,a3,a4,a6] |
Generators |
[14:36:1] |
Generators of the group modulo torsion |
j |
69173457625/270912 |
j-invariant |
L |
3.9892995166215 |
L(r)(E,1)/r! |
Ω |
3.1108788530922 |
Real period |
R |
2.5647411583747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67728l1 25398q1 |
Quadratic twists by: -4 -3 |