Atkin-Lehner |
2- 3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19998q |
Isogeny class |
Conductor |
19998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12989480922 = 2 · 312 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11- 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9752,-368175] |
[a1,a2,a3,a4,a6] |
j |
140681020636729/17818218 |
j-invariant |
L |
3.8434647154946 |
L(r)(E,1)/r! |
Ω |
0.48043308943682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6666a2 |
Quadratic twists by: -3 |