Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680s |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.092419053414E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 11- -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,573984,142708480] |
[a1,a2,a3,a4,a6] |
Generators |
[38640:4956160:343] |
Generators of the group modulo torsion |
j |
2882081488391/2883584000 |
j-invariant |
L |
3.7877633653663 |
L(r)(E,1)/r! |
Ω |
0.14202058207526 |
Real period |
R |
3.3338155199216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210j2 38720dj2 87120gm2 48400bz2 |
Quadratic twists by: -4 8 -3 5 |