Atkin-Lehner |
2- 3+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15756a |
Isogeny class |
Conductor |
15756 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
7.0159446579571E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10726340,-13511936424] |
[a1,a2,a3,a4,a6] |
j |
533136558514050493220176/274060338201450567 |
j-invariant |
L |
0.66740590975449 |
L(r)(E,1)/r! |
Ω |
0.083425738719312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63024p2 47268f2 |
Quadratic twists by: -4 -3 |