Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cm |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
435378831360000 = 217 · 3 · 54 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65985,-6424383] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:125:1] |
Generators of the group modulo torsion |
j |
136835858/1875 |
j-invariant |
L |
3.6525480793561 |
L(r)(E,1)/r! |
Ω |
0.29812465612423 |
Real period |
R |
3.0629369047848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160jm3 14520bo3 960c4 |
Quadratic twists by: -4 8 -11 |