Atkin-Lehner |
2- 3- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
82416q |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-63538099605504 = -1 · 212 · 312 · 172 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4488,-364140] |
[a1,a2,a3,a4,a6] |
Generators |
[68:510:1] |
Generators of the group modulo torsion |
j |
2440200643847/15512231349 |
j-invariant |
L |
10.152769365193 |
L(r)(E,1)/r! |
Ω |
0.31034431694079 |
Real period |
R |
2.7262110742504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5151a2 |
Quadratic twists by: -4 |