Atkin-Lehner |
5+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775n |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6082830810546875 = 514 · 72 · 11 · 432 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11- 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2709588,1715600906] |
[a1,a2,a3,a4,a6] |
j |
140803508625163703929/389301171875 |
j-invariant |
L |
1.4762452179656 |
L(r)(E,1)/r! |
Ω |
0.36906129461824 |
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 |
16555a2 |
Quadratic twists by: 5 |