Atkin-Lehner |
2- 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400db |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1018990368000 = 28 · 36 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19788,1063728] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-342:1] [-126:1254:1] |
Generators of the group modulo torsion |
j |
26779433529872/31843449 |
j-invariant |
L |
12.539604942293 |
L(r)(E,1)/r! |
Ω |
0.87399352723729 |
Real period |
R |
0.29890584025407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400s2 |
Quadratic twists by: 5 |