Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bq |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
180111751875000 = 23 · 39 · 57 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27792,-1655384] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:383:1] |
Generators of the group modulo torsion |
j |
14235529/1080 |
j-invariant |
L |
4.6616947818692 |
L(r)(E,1)/r! |
Ω |
0.37153370306945 |
Real period |
R |
1.5683956607949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150bx1 10890cb1 54450fk1 |
Quadratic twists by: -3 5 -11 |