Atkin-Lehner |
2- 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544t |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
437548685787136 = 216 · 77 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 11+ -5 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19123,-152206] |
[a1,a2,a3,a4,a6] |
j |
188812976774409/106823409616 |
j-invariant |
L |
3.5022396652263 |
L(r)(E,1)/r! |
Ω |
0.43777996348119 |
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 |
10318f1 |
Quadratic twists by: -4 |