Atkin-Lehner |
2- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42160l |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
165952552960 = 216 · 5 · 17 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 6 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6296,-189200] |
[a1,a2,a3,a4,a6] |
j |
6739487929369/40515760 |
j-invariant |
L |
1.0722964612189 |
L(r)(E,1)/r! |
Ω |
0.53614823060861 |
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 |
5270b1 |
Quadratic twists by: -4 |