Atkin-Lehner |
2+ 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422j |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-3231049323096 = -1 · 23 · 311 · 73 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -4 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3237,-49250] |
[a1,a2,a3,a4,a6] |
Generators |
[26:216:1] |
Generators of the group modulo torsion |
j |
3752707016986199/3231049323096 |
j-invariant |
L |
4.2385651895469 |
L(r)(E,1)/r! |
Ω |
0.43894327170876 |
Real period |
R |
0.43892244508111 |
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 |
49266bn1 114954m1 |
Quadratic twists by: -3 -7 |