Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512s |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4329704072687910912 = -1 · 221 · 318 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,233565,-90193246] |
[a1,a2,a3,a4,a6] |
j |
471910376801375/1450009133568 |
j-invariant |
L |
1.0063561018201 |
L(r)(E,1)/r! |
Ω |
0.12579451272751 |
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 |
1314a2 42048by2 3504p2 |
Quadratic twists by: -4 8 -3 |