Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368o |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-17613178970112 = -1 · 213 · 38 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 11+ 4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4672,237952] |
[a1,a2,a3,a4,a6] |
Generators |
[298:5022:1] |
Generators of the group modulo torsion |
j |
-2754008142913/4300092522 |
j-invariant |
L |
4.5249557291101 |
L(r)(E,1)/r! |
Ω |
0.62052930659986 |
Real period |
R |
0.60767419053692 |
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 |
2046h1 65472ct1 49104bv1 |
Quadratic twists by: -4 8 -3 |