Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16884b |
Isogeny class |
Conductor |
16884 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
484903144656 = 24 · 39 · 73 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2484,33885] |
[a1,a2,a3,a4,a6] |
Generators |
[283:4690:1] |
Generators of the group modulo torsion |
j |
5382291456/1539727 |
j-invariant |
L |
5.969358214007 |
L(r)(E,1)/r! |
Ω |
0.86788216036997 |
Real period |
R |
2.2926915221848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67536bd1 16884d1 118188d1 |
Quadratic twists by: -4 -3 -7 |