Atkin-Lehner |
2+ 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43624a |
Isogeny class |
Conductor |
43624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-67758354700288 = -1 · 211 · 76 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -4 7+ 5 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31960,-2223924] |
[a1,a2,a3,a4,a6] |
j |
-1762899929365682/33085134131 |
j-invariant |
L |
0.35666738817804 |
L(r)(E,1)/r! |
Ω |
0.17833369417189 |
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 |
87248j1 |
Quadratic twists by: -4 |