Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10440s |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17754380928000 = 210 · 314 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696243,223608958] |
[a1,a2,a3,a4,a6] |
Generators |
[531:1904:1] |
Generators of the group modulo torsion |
j |
50001007195949764/23783625 |
j-invariant |
L |
4.4298615911677 |
L(r)(E,1)/r! |
Ω |
0.56465985418527 |
Real period |
R |
3.9225930073951 |
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 |
20880m3 83520dd4 3480l3 52200m4 |
Quadratic twists by: -4 8 -3 5 |