Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2006a |
Isogeny class |
Conductor |
2006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
560 |
Modular degree for the optimal curve |
Δ |
236708 = 22 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 0 0 2 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1232,-16340] |
[a1,a2,a3,a4,a6] |
Generators |
[180:2270:1] |
Generators of the group modulo torsion |
j |
206896959473625/236708 |
j-invariant |
L |
2.3473584482537 |
L(r)(E,1)/r! |
Ω |
0.80580579218733 |
Real period |
R |
2.9130573036486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16048q1 64192g1 18054u1 50150bg1 |
Quadratic twists by: -4 8 -3 5 |