Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536m |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4579863552 = 210 · 33 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-440,1284] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:66:1] |
Generators of the group modulo torsion |
j |
9220796644/4472523 |
j-invariant |
L |
4.6241936809646 |
L(r)(E,1)/r! |
Ω |
1.2235000820457 |
Real period |
R |
0.62991327760175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768h2 78144cj2 58608s2 |
Quadratic twists by: -4 8 -3 |