Atkin-Lehner |
2- 3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19458d |
Isogeny class |
Conductor |
19458 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
951351665976 = 23 · 314 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17699,909483] |
[a1,a2,a3,a4,a6] |
Generators |
[69:80:1] |
Generators of the group modulo torsion |
j |
841045259316457/1305009144 |
j-invariant |
L |
9.077672950371 |
L(r)(E,1)/r! |
Ω |
0.88119053723344 |
Real period |
R |
1.7169334301734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486i2 |
Quadratic twists by: -3 |