Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992cd |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-3953335538433835008 = -1 · 214 · 33 · 74 · 134 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-987264,389829888] |
[a1,a2,a3,a4,a6] |
Generators |
[32:18928:1] |
Generators of the group modulo torsion |
j |
-25981493200023344257/965169809187948 |
j-invariant |
L |
4.2950264647364 |
L(r)(E,1)/r! |
Ω |
0.24600218387159 |
Real period |
R |
1.0912063865449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996325 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10374k4 |
Quadratic twists by: -4 |