Atkin-Lehner |
2- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
27872c |
Isogeny class |
Conductor |
27872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-46379008 = -1 · 212 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 0 13- -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,88,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[12:52:1] [28:156:1] |
Generators of the group modulo torsion |
j |
18399744/11323 |
j-invariant |
L |
6.0704355751972 |
L(r)(E,1)/r! |
Ω |
1.1662017219497 |
Real period |
R |
1.3013262330484 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27872a1 55744a1 |
Quadratic twists by: -4 8 |