Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080ca |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
Δ |
-7.7912110667369E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4234160,-2604200812] |
[a1,a2,a3,a4,a6] |
Generators |
[7298:645792:1] |
Generators of the group modulo torsion |
j |
2049582747886536648239/1902151139340060000 |
j-invariant |
L |
7.0637375042531 |
L(r)(E,1)/r! |
Ω |
0.072040025375861 |
Real period |
R |
0.29182427652714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510q2 |
Quadratic twists by: -4 |