Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560bx |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
832000 |
Modular degree for the optimal curve |
Δ |
-24947890625000000 = -1 · 26 · 513 · 75 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9799676,-11804446790] |
[a1,a2,a3,a4,a6] |
j |
-1626218636958570284888896/389810791015625 |
j-invariant |
L |
1.0666124002407 |
L(r)(E,1)/r! |
Ω |
0.042664496015096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560cp1 21280h1 |
Quadratic twists by: -4 8 |