Atkin-Lehner |
3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467g |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-356442248547 = -1 · 38 · 74 · 113 · 17 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 11+ 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1176,24169] |
[a1,a2,a3,a4,a6] |
j |
102760448/203643 |
j-invariant |
L |
1.3214923292651 |
L(r)(E,1)/r! |
Ω |
0.66074615500357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27489e1 82467u1 |
Quadratic twists by: -3 -7 |