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 |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-28278559052734375 = -1 · 510 · 7 · 112 · 434 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11- 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-167213,27463906] |
[a1,a2,a3,a4,a6] |
j |
-33091310339280649/1809827779375 |
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 |
16555a1 |
Quadratic twists by: 5 |