Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160hl |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-306662400000000 = -1 · 216 · 32 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26561,1858239] |
[a1,a2,a3,a4,a6] |
Generators |
[106:495:1] |
Generators of the group modulo torsion |
j |
-23758298924/3515625 |
j-invariant |
L |
6.52746813809 |
L(r)(E,1)/r! |
Ω |
0.52657088085075 |
Real period |
R |
3.0990453478979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999747741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160d2 29040m2 116160hi2 |
Quadratic twists by: -4 8 -11 |