Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384ct |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1063558435110912 = -1 · 216 · 316 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23423,754943] |
[a1,a2,a3,a4,a6] |
Generators |
[194:3555:1] |
Generators of the group modulo torsion |
j |
21684668893052/16228613817 |
j-invariant |
L |
9.5158667253971 |
L(r)(E,1)/r! |
Ω |
0.31390859255376 |
Real period |
R |
3.7892665852492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384b3 18096i4 |
Quadratic twists by: -4 8 |