Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bw |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
17641800 = 23 · 36 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,-104] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] |
Generators of the group modulo torsion |
j |
18865/8 |
j-invariant |
L |
3.9924326120766 |
L(r)(E,1)/r! |
Ω |
1.7013653624941 |
Real period |
R |
1.1733025428075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bd1 54450gu1 54450fh1 |
Quadratic twists by: -3 5 -11 |