Atkin-Lehner |
5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16225c |
Isogeny class |
Conductor |
16225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1267578125 = -1 · 59 · 11 · 59 |
Discriminant |
Eigenvalues |
-1 3 5+ 2 11- 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,270,22] |
[a1,a2,a3,a4,a6] |
j |
139798359/81125 |
j-invariant |
L |
3.6826775731362 |
L(r)(E,1)/r! |
Ω |
0.92066939328406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3245d1 |
Quadratic twists by: 5 |