Atkin-Lehner |
2- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82646d |
Isogeny class |
Conductor |
82646 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
1.791955279973E+19 |
Discriminant |
Eigenvalues |
2- 0 1 0 3 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3004747,-1993624997] |
[a1,a2,a3,a4,a6] |
Generators |
[-953:2398:1] |
Generators of the group modulo torsion |
j |
3380470452981441/20190961664 |
j-invariant |
L |
10.569646499136 |
L(r)(E,1)/r! |
Ω |
0.11471067046084 |
Real period |
R |
1.771957498173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666c1 |
Quadratic twists by: -31 |