Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467t |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1999872 |
Modular degree for the optimal curve |
Δ |
-5.6189187013606E+19 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 11+ -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-828345,462894192] |
[a1,a2,a3,a4,a6] |
Generators |
[662:14305:1] |
Generators of the group modulo torsion |
j |
-305245696000/272863107 |
j-invariant |
L |
2.692034545213 |
L(r)(E,1)/r! |
Ω |
0.18143757512072 |
Real period |
R |
1.8546561708756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27489w1 82467h1 |
Quadratic twists by: -3 -7 |