Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840ek |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-585336000 = -1 · 26 · 3 · 53 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,195,-447] |
[a1,a2,a3,a4,a6] |
Generators |
[56:435:1] |
Generators of the group modulo torsion |
j |
12747309056/9145875 |
j-invariant |
L |
6.9023335968974 |
L(r)(E,1)/r! |
Ω |
0.91863079398863 |
Real period |
R |
0.83485766014971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840bc2 6960v2 83520ep2 |
Quadratic twists by: -4 8 -3 |