Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440h |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
95858254764518400 = 210 · 310 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4284003,3412861202] |
[a1,a2,a3,a4,a6] |
j |
11647843478225136004/128410942275 |
j-invariant |
L |
1.2241016871969 |
L(r)(E,1)/r! |
Ω |
0.30602542160523 |
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 |
27720k4 18480m3 |
Quadratic twists by: -4 -3 |