Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16884a |
Isogeny class |
Conductor |
16884 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-23836628592 = -1 · 24 · 33 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 1 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549,-8927] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1029:1] |
Generators of the group modulo torsion |
j |
-42360102144/55177381 |
j-invariant |
L |
5.9041410681027 |
L(r)(E,1)/r! |
Ω |
0.47030713710163 |
Real period |
R |
0.89669989829689 |
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 |
67536bc1 16884c1 118188c1 |
Quadratic twists by: -4 -3 -7 |