Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4592f |
Isogeny class |
Conductor |
4592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
44671956325728256 = 215 · 7 · 417 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153781003,734010288314] |
[a1,a2,a3,a4,a6] |
j |
98191033604529537629349729/10906239337336 |
j-invariant |
L |
3.6635270596016 |
L(r)(E,1)/r! |
Ω |
0.20352928108898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
574i2 18368u2 41328bi2 114800by2 |
Quadratic twists by: -4 8 -3 5 |