Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296be |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-124721823744 = -1 · 225 · 32 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-16991] |
[a1,a2,a3,a4,a6] |
Generators |
[85:768:1] [40:213:1] |
Generators of the group modulo torsion |
j |
-1/475776 |
j-invariant |
L |
8.2053414720453 |
L(r)(E,1)/r! |
Ω |
0.47889136511995 |
Real period |
R |
2.1417543909099 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79296bb1 19824u1 |
Quadratic twists by: -4 8 |