Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160g |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6899904000000 = -1 · 212 · 34 · 56 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2919,109881] |
[a1,a2,a3,a4,a6] |
Generators |
[15:396:1] |
Generators of the group modulo torsion |
j |
504358336/1265625 |
j-invariant |
L |
2.9896493357227 |
L(r)(E,1)/r! |
Ω |
0.52246294107461 |
Real period |
R |
1.4305557113585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998608962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160cn2 58080u1 116160b2 |
Quadratic twists by: -4 8 -11 |