Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bn |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.9110484776056E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2042442,1039319716] |
[a1,a2,a3,a4,a6] |
Generators |
[300:21146:1] |
Generators of the group modulo torsion |
j |
46694890801/3920400 |
j-invariant |
L |
4.2197376574739 |
L(r)(E,1)/r! |
Ω |
0.18830869577454 |
Real period |
R |
2.8010772684493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18150bw2 10890bn2 4950bi2 |
Quadratic twists by: -3 5 -11 |