Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16450k |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
18169025000000 = 26 · 58 · 7 · 473 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-378188,-89675219] |
[a1,a2,a3,a4,a6] |
Generators |
[6845:560577:1] |
Generators of the group modulo torsion |
j |
382848536477869561/1162817600 |
j-invariant |
L |
9.9152196639366 |
L(r)(E,1)/r! |
Ω |
0.19251859863084 |
Real period |
R |
2.8612588124103 |
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 |
3290e3 115150ca3 |
Quadratic twists by: 5 -7 |