Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bs |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
13381632000 = 215 · 33 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- -5 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-865,-7775] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:40:1] |
Generators of the group modulo torsion |
j |
18073352/3375 |
j-invariant |
L |
5.7910412097206 |
L(r)(E,1)/r! |
Ω |
0.89161068111497 |
Real period |
R |
0.54125278484454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ee1 58080q1 116160bw1 |
Quadratic twists by: -4 8 -11 |