Atkin-Lehner |
2- 3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bn |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
123268631835937500 = 22 · 39 · 512 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33247922,-73781237131] |
[a1,a2,a3,a4,a6] |
j |
5575575391612718387404249/169092773437500 |
j-invariant |
L |
6.0357280375954 |
L(r)(E,1)/r! |
Ω |
0.062872167058159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490g4 |
Quadratic twists by: -3 |