Atkin-Lehner |
2- 5+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
82960a |
Isogeny class |
Conductor |
82960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31872 |
Modular degree for the optimal curve |
Δ |
-42475520 = -1 · 213 · 5 · 17 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 5 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,320] |
[a1,a2,a3,a4,a6] |
j |
-117649/10370 |
j-invariant |
L |
3.3445222296189 |
L(r)(E,1)/r! |
Ω |
1.6722611612098 |
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 |
10370e1 |
Quadratic twists by: -4 |