Atkin-Lehner |
2- 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992ct |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-143493168 = -1 · 24 · 3 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,570] |
[a1,a2,a3,a4,a6] |
j |
-256000000/8968323 |
j-invariant |
L |
3.0594521941598 |
L(r)(E,1)/r! |
Ω |
1.52972615541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748c1 |
Quadratic twists by: -4 |