Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120cn |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21591360000 = 29 · 34 · 54 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8960,323400] |
[a1,a2,a3,a4,a6] |
j |
155391138846728/42170625 |
j-invariant |
L |
4.7232833985231 |
L(r)(E,1)/r! |
Ω |
1.1808208492479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57120bq4 114240gn4 |
Quadratic twists by: -4 8 |