Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16992c |
Isogeny class |
Conductor |
16992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
8258112 = 26 · 37 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525,-4628] |
[a1,a2,a3,a4,a6] |
Generators |
[3820:11088:125] |
Generators of the group modulo torsion |
j |
343000000/177 |
j-invariant |
L |
5.8843240947403 |
L(r)(E,1)/r! |
Ω |
0.99740876387552 |
Real period |
R |
5.8996113808708 |
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 |
16992g1 33984j1 5664d1 |
Quadratic twists by: -4 8 -3 |