Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656bh |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-321366528 = -1 · 29 · 37 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-898] |
[a1,a2,a3,a4,a6] |
Generators |
[13:18:1] [22:90:1] |
Generators of the group modulo torsion |
j |
-125000/861 |
j-invariant |
L |
10.687836020688 |
L(r)(E,1)/r! |
Ω |
0.72042422002483 |
Real period |
R |
1.8544344643771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656e1 27552c1 |
Quadratic twists by: -4 -3 |