Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128440bb |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-298055455750000 = -1 · 24 · 56 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 2 2 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77120,-8259343] |
[a1,a2,a3,a4,a6] |
Generators |
[724:17745:1] |
Generators of the group modulo torsion |
j |
-656825960704/3859375 |
j-invariant |
L |
12.995227115485 |
L(r)(E,1)/r! |
Ω |
0.14319399023688 |
Real period |
R |
1.8906791860594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880c1 |
Quadratic twists by: 13 |