Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046p |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
132579328 = 216 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 1 0 7- -4 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-193,-887] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:11:1] |
Generators of the group modulo torsion |
j |
2751936625/458752 |
j-invariant |
L |
5.8889415547658 |
L(r)(E,1)/r! |
Ω |
1.295360828212 |
Real period |
R |
0.28413615662663 |
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 |
32368j1 129472bc1 36414bf1 101150f1 |
Quadratic twists by: -4 8 -3 5 |