Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450c |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2172851562500 = 22 · 514 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47792,-4008884] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:88:1] [-125:79:1] |
Generators of the group modulo torsion |
j |
772635063744081/139062500 |
j-invariant |
L |
3.2008606737892 |
L(r)(E,1)/r! |
Ω |
0.32289774934602 |
Real period |
R |
4.956461728631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35600w4 40050bd4 890h3 |
Quadratic twists by: -4 -3 5 |