Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13167b |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
1935549 = 33 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 11+ -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2124,37677] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:199:1] |
Generators of the group modulo torsion |
j |
39248538107904/71687 |
j-invariant |
L |
2.5860682033477 |
L(r)(E,1)/r! |
Ω |
2.2520490477872 |
Real period |
R |
1.722476830082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13167d2 92169a1 |
Quadratic twists by: -3 -7 |