Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440p |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
45312 |
Modular degree for the optimal curve |
Δ |
-2778414080 = -1 · 210 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -3 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-2560] |
[a1,a2,a3,a4,a6] |
Generators |
[56:416:1] |
Generators of the group modulo torsion |
j |
-676/95 |
j-invariant |
L |
5.4744661152449 |
L(r)(E,1)/r! |
Ω |
0.63722836861108 |
Real period |
R |
1.4318430415196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000015073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128440f1 |
Quadratic twists by: 13 |