Atkin-Lehner |
29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36163a |
Isogeny class |
Conductor |
36163 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-25577402803 = -1 · 296 · 43 |
Discriminant |
Eigenvalues |
2 2 -4 0 -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-280,7997] |
[a1,a2,a3,a4,a6] |
j |
-4096/43 |
j-invariant |
L |
2.0310203032983 |
L(r)(E,1)/r! |
Ω |
1.0155101516526 |
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 |
43a1 |
Quadratic twists by: 29 |