Atkin-Lehner |
2- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27328v |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
4 |
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 |
[421:7936:1] |
Generators of the group modulo torsion |
j |
7026036894577/3215111872 |
j-invariant |
L |
4.8902955857784 |
L(r)(E,1)/r! |
Ω |
0.3944399122097 |
Real period |
R |
3.099518731752 |
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 |
27328k1 6832c1 |
Quadratic twists by: -4 8 |