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 |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
8641624320 = 28 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1028,-11609] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:37:1] |
Generators of the group modulo torsion |
j |
17779581/1280 |
j-invariant |
L |
5.1461525642973 |
L(r)(E,1)/r! |
Ω |
0.84703648507174 |
Real period |
R |
0.75943490259771 |
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 |
35280cz1 4410e1 22050e1 4410x1 |
Quadratic twists by: -4 -3 5 -7 |