Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440r |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-111823360 = -1 · 29 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,504] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-22:1] [7:28:1] |
Generators of the group modulo torsion |
j |
-941192/218405 |
j-invariant |
L |
4.9792109468844 |
L(r)(E,1)/r! |
Ω |
1.5278664619989 |
Real period |
R |
1.6294653592864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440i2 66880bw2 |
Quadratic twists by: -4 8 |