Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456cb |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13798139756544 = -1 · 219 · 32 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39489,3012543] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-96:1] |
Generators of the group modulo torsion |
j |
-25979045828113/52635726 |
j-invariant |
L |
6.7343823367189 |
L(r)(E,1)/r! |
Ω |
0.70661017173555 |
Real period |
R |
1.1913185314362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27456r2 6864s2 82368eu2 |
Quadratic twists by: -4 8 -3 |