Atkin-Lehner |
2+ 3- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
36846n |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-322328808 = -1 · 23 · 39 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 4 5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,171,-131] |
[a1,a2,a3,a4,a6] |
j |
756058031/442152 |
j-invariant |
L |
2.022239283998 |
L(r)(E,1)/r! |
Ω |
1.0111196420048 |
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 |
12282f1 |
Quadratic twists by: -3 |