Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112bm |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1.8855964564801E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 11+ -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6696165,-912659101] |
[a1,a2,a3,a4,a6] |
Generators |
[-258666230:16427982933:226981] |
Generators of the group modulo torsion |
j |
2846784816439184992000/1616595041563856937 |
j-invariant |
L |
3.0659065951131 |
L(r)(E,1)/r! |
Ω |
0.10135173858937 |
Real period |
R |
15.125081410934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17028r2 22704x2 |
Quadratic twists by: -4 -3 |