Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072co |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
633219710976 = 217 · 37 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 0 6 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4044,91280] |
[a1,a2,a3,a4,a6] |
j |
76545506/6627 |
j-invariant |
L |
3.5588185574988 |
L(r)(E,1)/r! |
Ω |
0.88970463937473 |
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 |
27072n2 6768f2 9024be2 |
Quadratic twists by: -4 8 -3 |