Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bn |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.9127042122093E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31989942,69649042216] |
[a1,a2,a3,a4,a6] |
Generators |
[1268:175784:1] |
Generators of the group modulo torsion |
j |
179415687049201/1443420 |
j-invariant |
L |
4.2197376574739 |
L(r)(E,1)/r! |
Ω |
0.18830869577454 |
Real period |
R |
1.4005386342246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18150bw3 10890bn4 4950bi3 |
Quadratic twists by: -3 5 -11 |