Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536j |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-585231930987264 = -1 · 28 · 34 · 11 · 376 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12132,1268460] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1110:1] |
Generators of the group modulo torsion |
j |
-771465925484368/2286062230419 |
j-invariant |
L |
7.0503551005308 |
L(r)(E,1)/r! |
Ω |
0.45437711335689 |
Real period |
R |
1.2930439813975 |
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 |
9768e2 78144cg2 58608o2 |
Quadratic twists by: -4 8 -3 |