Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850fu |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3.243972124015E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22089838,-29087338708] |
[a1,a2,a3,a4,a6] |
j |
648474704552553481/176469171805080 |
j-invariant |
L |
6.8218227407651 |
L(r)(E,1)/r! |
Ω |
0.071060654124863 |
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 |
16170d4 11550bq3 |
Quadratic twists by: 5 -7 |