Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656s |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
41361408 |
Modular degree for the optimal curve |
Δ |
-5.6056929498378E+26 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 -7 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2141326668,-38156288784896] |
[a1,a2,a3,a4,a6] |
Generators |
[56054:4235364:1] |
Generators of the group modulo torsion |
j |
-363651189931905378317079616/187733522679218010621 |
j-invariant |
L |
4.399180031813 |
L(r)(E,1)/r! |
Ω |
0.011096483706785 |
Real period |
R |
1.4575298279659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656g1 27552ba1 |
Quadratic twists by: -4 -3 |