Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13167n |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
3199581 = 37 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3- -1 7- 11- 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
16777216/4389 |
j-invariant |
L |
3.7490460052952 |
L(r)(E,1)/r! |
Ω |
1.849014904564 |
Real period |
R |
0.50689775350664 |
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 |
4389b1 92169bb1 |
Quadratic twists by: -3 -7 |