Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11440a |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-183040 = -1 · 28 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11+ 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
-1024/715 |
j-invariant |
L |
3.03252944264 |
L(r)(E,1)/r! |
Ω |
1.4403392451773 |
Real period |
R |
2.1054272129249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5720f1 45760by1 102960bo1 57200e1 |
Quadratic twists by: -4 8 -3 5 |