Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496s |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-688176 = -1 · 24 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 1 6 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,299] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] |
Generators of the group modulo torsion |
j |
-5619712/59 |
j-invariant |
L |
3.7867112193974 |
L(r)(E,1)/r! |
Ω |
2.8775158139894 |
Real period |
R |
1.3159653896559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2124c1 33984bz1 944j1 |
Quadratic twists by: -4 8 -3 |