Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27144h |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-2605824 = -1 · 28 · 33 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 -2 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
27648/377 |
j-invariant |
L |
3.7492737122721 |
L(r)(E,1)/r! |
Ω |
1.25620610525 |
Real period |
R |
0.74615019314964 |
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 |
54288a1 27144a1 |
Quadratic twists by: -4 -3 |