Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352dl |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.8963224141164E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23048364,-30199120432] |
[a1,a2,a3,a4,a6] |
Generators |
[-16949270402:-33207373008:4330747] |
Generators of the group modulo torsion |
j |
14171198121996897746/4077720290568771 |
j-invariant |
L |
6.9635234659952 |
L(r)(E,1)/r! |
Ω |
0.070415703351806 |
Real period |
R |
12.361453366456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352co4 11088p3 14784bv3 |
Quadratic twists by: -4 8 -3 |