Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4592d |
Isogeny class |
Conductor |
4592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.7848163727066E+20 |
Discriminant |
Eigenvalues |
2- 2 4 7+ -4 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10992616,-14009730192] |
[a1,a2,a3,a4,a6] |
j |
35864681248144538691049/43574618474283008 |
j-invariant |
L |
4.1459682808425 |
L(r)(E,1)/r! |
Ω |
0.08291936561685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574d2 18368s2 41328bt2 114800bu2 |
Quadratic twists by: -4 8 -3 5 |