Atkin-Lehner |
2- 3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
82416l |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3595974912 = -1 · 28 · 34 · 17 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212,-3192] |
[a1,a2,a3,a4,a6] |
j |
-4135597648/14046777 |
j-invariant |
L |
1.1498108135316 |
L(r)(E,1)/r! |
Ω |
0.57490537554441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20604a2 |
Quadratic twists by: -4 |