Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bl |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-42383244467200 = -1 · 210 · 52 · 73 · 136 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12003,594206] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-443:1] |
Generators of the group modulo torsion |
j |
-115501303/25600 |
j-invariant |
L |
2.9708224247834 |
L(r)(E,1)/r! |
Ω |
0.61414978727225 |
Real period |
R |
1.2093232298555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82810o1 490g1 |
Quadratic twists by: -7 13 |