Atkin-Lehner |
2- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
110224h |
Isogeny class |
Conductor |
110224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-9148592 = -1 · 24 · 833 |
Discriminant |
Eigenvalues |
2- 1 4 -1 -3 4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221,1202] |
[a1,a2,a3,a4,a6] |
j |
-131072 |
j-invariant |
L |
4.6427214686717 |
L(r)(E,1)/r! |
Ω |
2.3213608635364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27556a1 110224i1 |
Quadratic twists by: -4 -83 |