Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hr |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
382462888196505600 = 216 · 32 · 52 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2342721,-1380618945] |
[a1,a2,a3,a4,a6] |
Generators |
[-879:504:1] [6330:487305:1] |
Generators of the group modulo torsion |
j |
12247559771044/3294225 |
j-invariant |
L |
13.451792102931 |
L(r)(E,1)/r! |
Ω |
0.12203275234186 |
Real period |
R |
27.557749552153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986202 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160o4 29040n4 10560ca4 |
Quadratic twists by: -4 8 -11 |