Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496w |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
247267328 = 216 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6561,206753] |
[a1,a2,a3,a4,a6] |
j |
1389715708/11 |
j-invariant |
L |
6.299624023729 |
L(r)(E,1)/r! |
Ω |
1.574906005936 |
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 |
34496dq2 4312l2 34496z2 |
Quadratic twists by: -4 8 -7 |