Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11040f |
Isogeny class |
Conductor |
11040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
15425640000 = 26 · 36 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-626,624] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:72:1] |
Generators of the group modulo torsion |
j |
424580764096/241025625 |
j-invariant |
L |
5.0031425109838 |
L(r)(E,1)/r! |
Ω |
1.0688813226667 |
Real period |
R |
1.5602425965937 |
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 |
11040i1 22080s2 33120bg1 55200bl1 |
Quadratic twists by: -4 8 -3 5 |