Atkin-Lehner |
2+ 3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16974g |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
189518138748 = 22 · 36 · 23 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4731,-122311] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:51:1] |
Generators of the group modulo torsion |
j |
16065959324337/259970012 |
j-invariant |
L |
3.9179381523707 |
L(r)(E,1)/r! |
Ω |
0.57621299893807 |
Real period |
R |
3.3997307936399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886e4 |
Quadratic twists by: -3 |