Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hs |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
653068247040000 = 216 · 32 · 54 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96961,-11588161] |
[a1,a2,a3,a4,a6] |
j |
868327204/5625 |
j-invariant |
L |
4.330512894813 |
L(r)(E,1)/r! |
Ω |
0.27065708947113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160r4 29040o4 960l3 |
Quadratic twists by: -4 8 -11 |