Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27612c |
Isogeny class |
Conductor |
27612 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
34783167744 = 28 · 311 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4224,105284] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-162:1] |
Generators of the group modulo torsion |
j |
44660948992/186381 |
j-invariant |
L |
3.6937341995347 |
L(r)(E,1)/r! |
Ω |
1.1674769156177 |
Real period |
R |
0.26365504891521 |
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 |
110448bm1 9204c1 |
Quadratic twists by: -4 -3 |