Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160bf |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
131384025000000 = 26 · 310 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17877,736396] |
[a1,a2,a3,a4,a6] |
j |
13542540101056/2816015625 |
j-invariant |
L |
4.4260123344934 |
L(r)(E,1)/r! |
Ω |
0.55325162561566 |
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 |
128160o1 42720b1 |
Quadratic twists by: -4 -3 |