Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288ca |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-184717823610617856 = -1 · 215 · 36 · 13 · 296 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48741,20259146] |
[a1,a2,a3,a4,a6] |
Generators |
[1319:48778:1] |
Generators of the group modulo torsion |
j |
4288639501223/61861625384 |
j-invariant |
L |
4.4950569098117 |
L(r)(E,1)/r! |
Ω |
0.23708621781447 |
Real period |
R |
1.5799656313508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6786t2 6032e2 |
Quadratic twists by: -4 -3 |