Atkin-Lehner |
2- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544w |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
51128593567744 = 212 · 73 · 112 · 673 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11+ 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-374760,88178036] |
[a1,a2,a3,a4,a6] |
Generators |
[334:616:1] |
Generators of the group modulo torsion |
j |
1421099916246680041/12482566789 |
j-invariant |
L |
8.6888386221614 |
L(r)(E,1)/r! |
Ω |
0.56968370014992 |
Real period |
R |
0.63550166951013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159f1 |
Quadratic twists by: -4 |