Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36192y |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
60223488 = 212 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-3887] |
[a1,a2,a3,a4,a6] |
j |
3010936384/14703 |
j-invariant |
L |
4.0782674330298 |
L(r)(E,1)/r! |
Ω |
1.0195668582613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36192t2 72384z1 108576p2 |
Quadratic twists by: -4 8 -3 |