Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5394g |
Isogeny class |
Conductor |
5394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8677403316 = -1 · 22 · 34 · 29 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,438,-2720] |
[a1,a2,a3,a4,a6] |
j |
9323320270823/8677403316 |
j-invariant |
L |
1.4275694800223 |
L(r)(E,1)/r! |
Ω |
0.71378474001114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43152x3 16182m4 |
Quadratic twists by: -4 -3 |