Atkin-Lehner |
2- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32960m |
Isogeny class |
Conductor |
32960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
232960 |
Modular degree for the optimal curve |
Δ |
-527360000000 = -1 · 216 · 57 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -6 -2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1016321,-394022879] |
[a1,a2,a3,a4,a6] |
j |
-1771482665596654084/8046875 |
j-invariant |
L |
0.15036328115091 |
L(r)(E,1)/r! |
Ω |
0.075181640575957 |
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 |
32960c1 8240c1 |
Quadratic twists by: -4 8 |