Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2006i |
Isogeny class |
Conductor |
2006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
236708 = 22 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 0 0 2 -6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40,103] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
6913292625/236708 |
j-invariant |
L |
4.1929585228454 |
L(r)(E,1)/r! |
Ω |
3.11135727657 |
Real period |
R |
1.3476300373539 |
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 |
16048x1 64192w1 18054b1 50150a1 |
Quadratic twists by: -4 8 -3 5 |