Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40344d |
Isogeny class |
Conductor |
40344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11433166848 = 211 · 34 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1872,-30132] |
[a1,a2,a3,a4,a6] |
j |
5142706/81 |
j-invariant |
L |
2.9058843659218 |
L(r)(E,1)/r! |
Ω |
0.72647109151077 |
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 |
80688g2 121032h2 40344e2 |
Quadratic twists by: -4 -3 41 |