Atkin-Lehner |
2+ 3- 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422i |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-8276688 = -1 · 24 · 33 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -3 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52,194] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:14:1] [-3:19:1] |
Generators of the group modulo torsion |
j |
-15124197817/8276688 |
j-invariant |
L |
5.4026440136038 |
L(r)(E,1)/r! |
Ω |
2.1633523801741 |
Real period |
R |
0.20811234387564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266bt1 114954h1 |
Quadratic twists by: -3 -7 |