Atkin-Lehner |
3- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
82173g |
Isogeny class |
Conductor |
82173 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-4949806161395277 = -1 · 36 · 710 · 13 · 432 |
Discriminant |
Eigenvalues |
1 3- 0 7- 1 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37266,-4376291] |
[a1,a2,a3,a4,a6] |
j |
-20261187625/17522973 |
j-invariant |
L |
1.9895040708068 |
L(r)(E,1)/r! |
Ω |
0.16579200622431 |
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 |
82173a1 |
Quadratic twists by: -7 |