Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992j |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
82710102016 = 219 · 193 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 -2 3 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10254224,12642116032] |
[a1,a2,a3,a4,a6] |
j |
29112011033527546515217/20192896 |
j-invariant |
L |
1.8747207848603 |
L(r)(E,1)/r! |
Ω |
0.46868019621507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
874f2 27968bt2 62928be2 |
Quadratic twists by: -4 8 -3 |