Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450bj |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
22708224 |
Modular degree for the optimal curve |
Δ |
9.623885405589E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315565542,2105479112116] |
[a1,a2,a3,a4,a6] |
j |
129392980254539/3583180800 |
j-invariant |
L |
0.47847453369512 |
L(r)(E,1)/r! |
Ω |
0.059809316565254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18150bu1 10890bx1 54450fa1 |
Quadratic twists by: -3 5 -11 |