Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8976bb |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
1.754433074327E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17729712,-20488617900] |
[a1,a2,a3,a4,a6] |
j |
150476552140919246594353/42832838728685592576 |
j-invariant |
L |
3.9086442633135 |
L(r)(E,1)/r! |
Ω |
0.075166235832952 |
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 |
1122g2 35904cd2 26928bo2 98736da2 |
Quadratic twists by: -4 8 -3 -11 |