Atkin-Lehner |
2- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4042b |
Isogeny class |
Conductor |
4042 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
676 |
Modular degree for the optimal curve |
Δ |
-4042 = -1 · 2 · 43 · 47 |
Discriminant |
Eigenvalues |
2- -2 4 5 4 -6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,3] |
[a1,a2,a3,a4,a6] |
j |
-117649/4042 |
j-invariant |
L |
3.6637893195452 |
L(r)(E,1)/r! |
Ω |
3.6637893195452 |
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 |
32336l1 129344n1 36378d1 101050e1 |
Quadratic twists by: -4 8 -3 5 |