Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
52668z |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
326818001664 = 28 · 38 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5151,-139610] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:18:1] |
Generators of the group modulo torsion |
j |
80989901008/1751211 |
j-invariant |
L |
5.0268216747266 |
L(r)(E,1)/r! |
Ω |
0.56428431125295 |
Real period |
R |
1.4847189541646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17556l2 |
Quadratic twists by: -3 |