Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
21440f |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-5360000000 = -1 · 210 · 57 · 67 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-321,-4055] |
[a1,a2,a3,a4,a6] |
j |
-3583365376/5234375 |
j-invariant |
L |
0.535699330119 |
L(r)(E,1)/r! |
Ω |
0.53569933011899 |
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 |
21440p1 2680f1 107200c1 |
Quadratic twists by: -4 8 5 |