Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
27328k |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
842822286573568 = 224 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 1 2 7- -1 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25537,710047] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1372:1] |
Generators of the group modulo torsion |
j |
7026036894577/3215111872 |
j-invariant |
L |
7.8009480544645 |
L(r)(E,1)/r! |
Ω |
0.44879945149922 |
Real period |
R |
1.2415580577416 |
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 |
27328v1 854d1 |
Quadratic twists by: -4 8 |