Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170cg |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-10187100 = -1 · 22 · 33 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20,-148] |
[a1,a2,a3,a4,a6] |
j |
2571353/29700 |
j-invariant |
L |
6.7530805284738 |
L(r)(E,1)/r! |
Ω |
1.1255134214123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360fc1 48510u1 80850y1 16170bm1 |
Quadratic twists by: -4 -3 5 -7 |