Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
27832b |
Isogeny class |
Conductor |
27832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
59515621050368 = 211 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 2 0 7- -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10208,144236] |
[a1,a2,a3,a4,a6] |
Generators |
[-85524:1252979:1728] |
Generators of the group modulo torsion |
j |
488281250/247009 |
j-invariant |
L |
7.6422533970612 |
L(r)(E,1)/r! |
Ω |
0.55219670012912 |
Real period |
R |
6.9198651452229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55664b2 3976a2 |
Quadratic twists by: -4 -7 |