Atkin-Lehner |
2- 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648m |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-284551761872683008 = -1 · 217 · 36 · 116 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488408,-133698576] |
[a1,a2,a3,a4,a6] |
j |
-3145668549383265625/69470644988448 |
j-invariant |
L |
2.8857332213829 |
L(r)(E,1)/r! |
Ω |
0.090179163168215 |
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 |
2706g2 86592dg2 64944bq2 |
Quadratic twists by: -4 8 -3 |