Atkin-Lehner |
2- 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16974n |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1011921984 = 26 · 36 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4091,-99669] |
[a1,a2,a3,a4,a6] |
j |
10384488145513/1388096 |
j-invariant |
L |
3.5818320037121 |
L(r)(E,1)/r! |
Ω |
0.59697200061869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886b1 |
Quadratic twists by: -3 |