Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52983h |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1069425131202E+27 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,94468531,-1561262960140] |
[a1,a2,a3,a4,a6] |
Generators |
[4288152603715100752367322263655677517600049198593267329320215024097313513640:-78793719263763623036103225512882813358123085987632296276408620945065875762401:475192551705236230453775380103365361273194603372304763331501131773504000] |
Generators of the group modulo torsion |
j |
215015459663151503/2552757445339983 |
j-invariant |
L |
5.2292833027009 |
L(r)(E,1)/r! |
Ω |
0.024065826136045 |
Real period |
R |
108.64541431363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17661f6 1827b6 |
Quadratic twists by: -3 29 |