Atkin-Lehner |
2+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22040a |
Isogeny class |
Conductor |
22040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
2821120 = 210 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -5 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [140:1660:1] |
Generators of the group modulo torsion |
j |
19307236/2755 |
j-invariant |
L |
7.5715389997504 |
L(r)(E,1)/r! |
Ω |
1.7592065219484 |
Real period |
R |
2.1519755939075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44080a1 110200f1 |
Quadratic twists by: -4 5 |