Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888x |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39180632064 = 216 · 3 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-339984,76415424] |
[a1,a2,a3,a4,a6] |
Generators |
[458:4070:1] |
Generators of the group modulo torsion |
j |
1061061310359436177/9565584 |
j-invariant |
L |
3.6833845882066 |
L(r)(E,1)/r! |
Ω |
0.80027179169231 |
Real period |
R |
4.6026670269327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3486m3 111552dp4 83664ch4 |
Quadratic twists by: -4 8 -3 |