Atkin-Lehner |
2+ 3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16974h |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17421313639550976 = 212 · 314 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-182286,-29229228] |
[a1,a2,a3,a4,a6] |
Generators |
[-512447:1897446:2197] |
Generators of the group modulo torsion |
j |
918877186561273057/23897549574144 |
j-invariant |
L |
4.1232977047376 |
L(r)(E,1)/r! |
Ω |
0.23141965716987 |
Real period |
R |
8.9087023876088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5658g2 |
Quadratic twists by: -3 |