Atkin-Lehner |
2+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21440k |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-46042049413120 = -1 · 237 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 3 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2815,-322303] |
[a1,a2,a3,a4,a6] |
j |
9407293631/175636480 |
j-invariant |
L |
4.9705303342538 |
L(r)(E,1)/r! |
Ω |
0.31065814589086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440bf1 670d1 107200u1 |
Quadratic twists by: -4 8 5 |