Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bz |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
7.4495644034314E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16096827,-24854092954] |
[a1,a2,a3,a4,a6] |
j |
617898380186522246116/99793761834375 |
j-invariant |
L |
3.014940083439 |
L(r)(E,1)/r! |
Ω |
0.075373502089731 |
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 |
85680by2 14280c2 |
Quadratic twists by: -4 -3 |