Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16456f |
Isogeny class |
Conductor |
16456 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
3982352 = 24 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -4 -2 11- 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,9] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:11:1] [-1:7:1] |
Generators of the group modulo torsion |
j |
30976/17 |
j-invariant |
L |
3.9173473671702 |
L(r)(E,1)/r! |
Ω |
2.1521633334664 |
Real period |
R |
0.30336509209557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32912g1 16456o1 |
Quadratic twists by: -4 -11 |