Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450n |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
14040843750000000 = 27 · 35 · 512 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4144401,-3247777052] |
[a1,a2,a3,a4,a6] |
Generators |
[6482:488946:1] |
Generators of the group modulo torsion |
j |
503835593418244309249/898614000000 |
j-invariant |
L |
3.8108164194214 |
L(r)(E,1)/r! |
Ω |
0.10581181678001 |
Real period |
R |
3.6015036272785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600bx2 19350cj2 1290k2 |
Quadratic twists by: -4 -3 5 |