Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410w |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2700507600 = 24 · 39 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16148,-785753] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:37:1] |
Generators of the group modulo torsion |
j |
68971442301/400 |
j-invariant |
L |
5.1461525642973 |
L(r)(E,1)/r! |
Ω |
0.42351824253587 |
Real period |
R |
1.5188698051954 |
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 |
35280cz2 4410e2 22050e2 4410x2 |
Quadratic twists by: -4 -3 5 -7 |