Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bq |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
32019867000000000 = 29 · 37 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-436167,110647741] |
[a1,a2,a3,a4,a6] |
Generators |
[179:6098:1] |
Generators of the group modulo torsion |
j |
55025549689/192000 |
j-invariant |
L |
4.6616947818692 |
L(r)(E,1)/r! |
Ω |
0.37153370306945 |
Real period |
R |
0.52279855359829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150bx2 10890cb2 54450fk2 |
Quadratic twists by: -3 5 -11 |