Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144bz |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1472276736 = 28 · 36 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,2450] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:70:1] |
Generators of the group modulo torsion |
j |
109744/23 |
j-invariant |
L |
7.891784090066 |
L(r)(E,1)/r! |
Ω |
1.4299219156973 |
Real period |
R |
1.37975787334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9016c1 81144cc1 |
Quadratic twists by: -3 -7 |