Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288i |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-12780816242688 = -1 · 211 · 39 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -5 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5469,73154] |
[a1,a2,a3,a4,a6] |
Generators |
[205:3132:1] |
Generators of the group modulo torsion |
j |
12116857534/8560539 |
j-invariant |
L |
2.9281997387986 |
L(r)(E,1)/r! |
Ω |
0.45010951779081 |
Real period |
R |
0.13553181795413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27144d1 18096b1 |
Quadratic twists by: -4 -3 |