Atkin-Lehner |
2+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44080a |
Isogeny class |
Conductor |
44080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6400 |
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 |
[6:2:1] |
Generators of the group modulo torsion |
j |
19307236/2755 |
j-invariant |
L |
5.5065596950054 |
L(r)(E,1)/r! |
Ω |
2.4463644805411 |
Real period |
R |
1.1254577432765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22040a1 |
Quadratic twists by: -4 |