Atkin-Lehner |
3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
43407n |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-2555384991372077319 = -1 · 315 · 76 · 134 · 53 |
Discriminant |
Eigenvalues |
1 3- 2 7- -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21699,76895352] |
[a1,a2,a3,a4,a6] |
j |
1549901451745583/3505329206271711 |
j-invariant |
L |
2.4177010983357 |
L(r)(E,1)/r! |
Ω |
0.20147509153448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14469i1 |
Quadratic twists by: -3 |