Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ce |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
5814558105468750 = 2 · 39 · 513 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87192,9227466] |
[a1,a2,a3,a4,a6] |
Generators |
[129:273:1] |
Generators of the group modulo torsion |
j |
53189206081/4218750 |
j-invariant |
L |
5.7207290703786 |
L(r)(E,1)/r! |
Ω |
0.41684498027156 |
Real period |
R |
1.7154845749539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150cv1 10890bt1 54450gb1 |
Quadratic twists by: -3 5 -11 |