Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16856a |
Isogeny class |
Conductor |
16856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
71031184 = 24 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 3 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212,1049] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:43:1] |
Generators of the group modulo torsion |
j |
27559168/1849 |
j-invariant |
L |
4.5979827448827 |
L(r)(E,1)/r! |
Ω |
1.9104061127999 |
Real period |
R |
0.60170226556487 |
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 |
33712b1 16856c1 |
Quadratic twists by: -4 -7 |