Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224l |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
401938827264 = 211 · 39 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67851,-6802650] |
[a1,a2,a3,a4,a6] |
Generators |
[3038867042:-1518712467650:12167] |
Generators of the group modulo torsion |
j |
856981063638/9971 |
j-invariant |
L |
5.5315788955558 |
L(r)(E,1)/r! |
Ω |
0.29580859908059 |
Real period |
R |
18.699858329876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448b2 55224b2 |
Quadratic twists by: -4 -3 |