Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072o |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1424744349696 = 215 · 39 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -2 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9804,369200] |
[a1,a2,a3,a4,a6] |
j |
4362708104/59643 |
j-invariant |
L |
3.4207156157743 |
L(r)(E,1)/r! |
Ω |
0.85517890394344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27072be2 13536i2 9024j2 |
Quadratic twists by: -4 8 -3 |