Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190cz |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.2533627565273E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17178675,27404274657] |
[a1,a2,a3,a4,a6] |
Generators |
[2342:3185:1] |
Generators of the group modulo torsion |
j |
-316472948332146183241/7074906009600 |
j-invariant |
L |
11.227718747181 |
L(r)(E,1)/r! |
Ω |
0.20791421664567 |
Real period |
R |
2.2500703511883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290o3 |
Quadratic twists by: -11 |