Atkin-Lehner |
2+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16048l |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
17512604672 = 210 · 173 · 592 |
Discriminant |
Eigenvalues |
2+ -2 -4 -4 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1480,20484] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:190:1] [-18:204:1] |
Generators of the group modulo torsion |
j |
350350152484/17102153 |
j-invariant |
L |
3.608496205566 |
L(r)(E,1)/r! |
Ω |
1.2151741594355 |
Real period |
R |
0.49492167817373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8024o1 64192ct1 |
Quadratic twists by: -4 8 |