Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44460o |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-32142370893750000 = -1 · 24 · 36 · 58 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8577,-8631171] |
[a1,a2,a3,a4,a6] |
Generators |
[228:1125:1] |
Generators of the group modulo torsion |
j |
-5982496199424/2755690234375 |
j-invariant |
L |
4.8201683744449 |
L(r)(E,1)/r! |
Ω |
0.16604289690241 |
Real period |
R |
1.8143535738242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940b1 |
Quadratic twists by: -3 |