Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048bs |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1527581638656 = 217 · 37 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5484,-144560] |
[a1,a2,a3,a4,a6] |
Generators |
[92:360:1] |
Generators of the group modulo torsion |
j |
190887986/15987 |
j-invariant |
L |
6.9302388081824 |
L(r)(E,1)/r! |
Ω |
0.55774210265525 |
Real period |
R |
3.10638141499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048g2 10512d2 14016bw2 |
Quadratic twists by: -4 8 -3 |