Atkin-Lehner |
2+ 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330j |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
223996640625000 = 23 · 38 · 510 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-166050,-25992500] |
[a1,a2,a3,a4,a6] |
Generators |
[471:109:1] |
Generators of the group modulo torsion |
j |
694567238880736801/307265625000 |
j-invariant |
L |
3.1028388823401 |
L(r)(E,1)/r! |
Ω |
0.23651094471394 |
Real period |
R |
6.5596095057938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110y2 |
Quadratic twists by: -3 |