Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456n |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-684894589034692608 = -1 · 242 · 32 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-239073,-60001695] |
[a1,a2,a3,a4,a6] |
j |
-5764706497797625/2612665516032 |
j-invariant |
L |
0.63385192731214 |
L(r)(E,1)/r! |
Ω |
0.10564198788535 |
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 |
27456by3 858b3 82368s3 |
Quadratic twists by: -4 8 -3 |