Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160jn |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
15673637928960000 = 219 · 33 · 54 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2234305,1284710975] |
[a1,a2,a3,a4,a6] |
Generators |
[623:11616:1] |
Generators of the group modulo torsion |
j |
2656166199049/33750 |
j-invariant |
L |
7.3455347228571 |
L(r)(E,1)/r! |
Ω |
0.35731888502861 |
Real period |
R |
0.85655686700266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ch5 29040ch5 960o4 |
Quadratic twists by: -4 8 -11 |