Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32536d |
Isogeny class |
Conductor |
32536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-156237872 = -1 · 24 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 1 0 7- -1 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163,-1058] |
[a1,a2,a3,a4,a6] |
Generators |
[417:503:27] |
Generators of the group modulo torsion |
j |
-256000/83 |
j-invariant |
L |
6.5814377610995 |
L(r)(E,1)/r! |
Ω |
0.65688869631489 |
Real period |
R |
5.0095532150432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65072e1 664c1 |
Quadratic twists by: -4 -7 |