Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352cf |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11105018587643904 = 218 · 310 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163596,24958960] |
[a1,a2,a3,a4,a6] |
Generators |
[110:2880:1] |
Generators of the group modulo torsion |
j |
2533811507137/58110129 |
j-invariant |
L |
4.0160808795917 |
L(r)(E,1)/r! |
Ω |
0.40352214647268 |
Real period |
R |
2.4881415522695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44352ea4 693d3 14784bm3 |
Quadratic twists by: -4 8 -3 |