Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450k |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
6953125000 = 23 · 510 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 2 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33096888,-73301112719] |
[a1,a2,a3,a4,a6] |
Generators |
[-4120463286001243545:2059604612756385313:1240391069146125] |
Generators of the group modulo torsion |
j |
410568050484022158025/712 |
j-invariant |
L |
4.3575558805063 |
L(r)(E,1)/r! |
Ω |
0.062943771917185 |
Real period |
R |
23.076447162183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35600x2 40050g2 4450f1 |
Quadratic twists by: -4 -3 5 |