Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ea |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-748307366400000000 = -1 · 215 · 3 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,69535,41040063] |
[a1,a2,a3,a4,a6] |
j |
640503928/12890625 |
j-invariant |
L |
3.4011616152159 |
L(r)(E,1)/r! |
Ω |
0.2125726546112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160bn3 58080b2 10560y4 |
Quadratic twists by: -4 8 -11 |