Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2006j |
Isogeny class |
Conductor |
2006 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-272816 = -1 · 24 · 172 · 59 |
Discriminant |
Eigenvalues |
2- -1 -3 1 4 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[7:13:1] |
Generators of the group modulo torsion |
j |
-192100033/272816 |
j-invariant |
L |
3.2999073540679 |
L(r)(E,1)/r! |
Ω |
1.2192159980904 |
Real period |
R |
0.33832267613331 |
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 |
16048ba1 64192bb1 18054f1 50150c1 |
Quadratic twists by: -4 8 -3 5 |