Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10440bb |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1843386958080 = 28 · 310 · 5 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-365727,-85130174] |
[a1,a2,a3,a4,a6] |
Generators |
[1001:23490:1] |
Generators of the group modulo torsion |
j |
28988603169478864/9877545 |
j-invariant |
L |
4.4250672598152 |
L(r)(E,1)/r! |
Ω |
0.19413789112288 |
Real period |
R |
1.899451996989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20880y1 83520y1 3480e1 52200t1 |
Quadratic twists by: -4 8 -3 5 |