Atkin-Lehner |
2- 3+ 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52440r |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
10194336000000 = 211 · 36 · 56 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17520,885132] |
[a1,a2,a3,a4,a6] |
Generators |
[169:1650:1] |
Generators of the group modulo torsion |
j |
290416210068962/4977703125 |
j-invariant |
L |
6.382964887862 |
L(r)(E,1)/r! |
Ω |
0.72467633078632 |
Real period |
R |
2.9360072520992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880s2 |
Quadratic twists by: -4 |