Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170cb |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-125946849853440 = -1 · 216 · 33 · 5 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12494,-50044] |
[a1,a2,a3,a4,a6] |
Generators |
[68:1022:1] |
Generators of the group modulo torsion |
j |
1833318007919/1070530560 |
j-invariant |
L |
8.2213629250027 |
L(r)(E,1)/r! |
Ω |
0.34613549424759 |
Real period |
R |
0.4948304843547 |
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 |
129360eb1 48510bn1 80850w1 330c1 |
Quadratic twists by: -4 -3 5 -7 |