Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4524d |
Isogeny class |
Conductor |
4524 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-101627136 = -1 · 28 · 34 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,116,116] |
[a1,a2,a3,a4,a6] |
j |
668510768/396981 |
j-invariant |
L |
2.3051735966349 |
L(r)(E,1)/r! |
Ω |
1.1525867983175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18096s2 72384q2 13572a2 113100j2 |
Quadratic twists by: -4 8 -3 5 |