Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27768j |
Isogeny class |
Conductor |
27768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-7997184 = -1 · 28 · 33 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -5 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
35969456/31239 |
j-invariant |
L |
6.7553012983413 |
L(r)(E,1)/r! |
Ω |
1.2860247752744 |
Real period |
R |
0.43773789252362 |
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 |
55536a1 83304f1 |
Quadratic twists by: -4 -3 |