Atkin-Lehner |
5+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775o |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35200 |
Modular degree for the optimal curve |
Δ |
362140625 = 56 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 11- 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,367] |
[a1,a2,a3,a4,a6] |
j |
47045881/23177 |
j-invariant |
L |
1.5082928801136 |
L(r)(E,1)/r! |
Ω |
1.5082927803479 |
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 |
3311b1 |
Quadratic twists by: 5 |