Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5148d |
Isogeny class |
Conductor |
5148 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-9908782430976 = -1 · 28 · 36 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11+ 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15024,724804] |
[a1,a2,a3,a4,a6] |
j |
-2009615368192/53094899 |
j-invariant |
L |
1.4473350258873 |
L(r)(E,1)/r! |
Ω |
0.72366751294366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20592bx2 82368bz2 572a2 128700h2 |
Quadratic twists by: -4 8 -3 5 |