Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840v |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1270209600 = 26 · 38 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,-272] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:36:1] |
Generators of the group modulo torsion |
j |
48228544/27225 |
j-invariant |
L |
3.7765223729032 |
L(r)(E,1)/r! |
Ω |
1.26545312825 |
Real period |
R |
1.4921620914264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15840z1 31680ef2 5280i1 79200bd1 |
Quadratic twists by: -4 8 -3 5 |