Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288bi |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-395126304768 = -1 · 212 · 39 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,12418] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-216:1] [57:544:1] |
Generators of the group modulo torsion |
j |
190109375/132327 |
j-invariant |
L |
9.5912513764894 |
L(r)(E,1)/r! |
Ω |
0.59999893904311 |
Real period |
R |
1.9981809034083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3393e1 18096ba1 |
Quadratic twists by: -4 -3 |