Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160iz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3267000000 = -1 · 26 · 33 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23965,-1435975] |
[a1,a2,a3,a4,a6] |
Generators |
[320:4875:1] |
Generators of the group modulo torsion |
j |
-196566176333824/421875 |
j-invariant |
L |
9.9074011237539 |
L(r)(E,1)/r! |
Ω |
0.19185522645479 |
Real period |
R |
2.8688881074898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999274355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160bp2 29040cc2 116160iv2 |
Quadratic twists by: -4 8 -11 |