Atkin-Lehner |
5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52675n |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
190341375875 = 53 · 77 · 432 |
Discriminant |
Eigenvalues |
1 0 5- 7- 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8927,326206] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:748:1] |
Generators of the group modulo torsion |
j |
5350192749/12943 |
j-invariant |
L |
5.6598165824117 |
L(r)(E,1)/r! |
Ω |
1.0109094767199 |
Real period |
R |
1.3996843220558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52675r2 7525c2 |
Quadratic twists by: 5 -7 |