Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cn |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
57999360 = 216 · 3 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75521,-8013441] |
[a1,a2,a3,a4,a6] |
Generators |
[277218:3127267:729] |
Generators of the group modulo torsion |
j |
726863277530884/885 |
j-invariant |
L |
6.1542179699398 |
L(r)(E,1)/r! |
Ω |
0.28799313967803 |
Real period |
R |
10.68466071233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640b4 14160d3 |
Quadratic twists by: -4 8 |