Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cl |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-771260538389299200 = -1 · 215 · 312 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11455,42246657] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:5445:1] |
Generators of the group modulo torsion |
j |
2863288/13286025 |
j-invariant |
L |
5.6174250387362 |
L(r)(E,1)/r! |
Ω |
0.22321628350818 |
Real period |
R |
3.1457298836392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999947242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160et3 58080cb2 960d4 |
Quadratic twists by: -4 8 -11 |