Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072ct |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20263030751232 = 222 · 37 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 4 0 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146892,21668240] |
[a1,a2,a3,a4,a6] |
j |
1834216913521/106032 |
j-invariant |
L |
2.5874121857501 |
L(r)(E,1)/r! |
Ω |
0.6468530464376 |
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 |
27072u2 6768u2 9024bh2 |
Quadratic twists by: -4 8 -3 |