Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908g |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64166934780248832 = 28 · 39 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-366471,84515886] |
[a1,a2,a3,a4,a6] |
j |
9181699056/108241 |
j-invariant |
L |
2.8035232253498 |
L(r)(E,1)/r! |
Ω |
0.35044039335138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82908a2 11844a2 |
Quadratic twists by: -3 -7 |