Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840dd |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-804974107852800 = -1 · 215 · 312 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,1369456] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:760:1] [-43:1215:1] |
Generators of the group modulo torsion |
j |
-376367048/33698025 |
j-invariant |
L |
12.030090486886 |
L(r)(E,1)/r! |
Ω |
0.41376654106168 |
Real period |
R |
3.6343231308125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cn2 61920br2 41280bf2 |
Quadratic twists by: -4 8 -3 |