Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456cp |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
64326991872 = 220 · 3 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11- 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3905,91839] |
[a1,a2,a3,a4,a6] |
Generators |
[15:192:1] |
Generators of the group modulo torsion |
j |
25128011089/245388 |
j-invariant |
L |
5.9856339663444 |
L(r)(E,1)/r! |
Ω |
1.1088319603693 |
Real period |
R |
1.3495358585152 |
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 |
27456l2 6864l2 82368ek2 |
Quadratic twists by: -4 8 -3 |