Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248bn |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1098842112 = -1 · 216 · 36 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -6 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,180,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:27:1] [0:36:1] |
Generators of the group modulo torsion |
j |
13500/23 |
j-invariant |
L |
5.9692036672263 |
L(r)(E,1)/r! |
Ω |
1.0606084796505 |
Real period |
R |
1.4070233695459 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13248f1 3312f1 1472h1 |
Quadratic twists by: -4 8 -3 |