Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440m |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
471409424640000 = 211 · 314 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18480243,-30578038958] |
[a1,a2,a3,a4,a6] |
Generators |
[-5452746:-3316:2197] |
Generators of the group modulo torsion |
j |
467508233804095622882/315748125 |
j-invariant |
L |
4.9081759203948 |
L(r)(E,1)/r! |
Ω |
0.072815298685553 |
Real period |
R |
8.4257292233926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720h6 18480z5 |
Quadratic twists by: -4 -3 |