Atkin-Lehner |
2+ 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602j |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-80816073990912 = -1 · 28 · 32 · 138 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -1 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8285,520184] |
[a1,a2,a3,a4,a6] |
j |
-77086633/99072 |
j-invariant |
L |
2.2000022246916 |
L(r)(E,1)/r! |
Ω |
0.55000055616989 |
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 |
43602v1 |
Quadratic twists by: 13 |