Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112f |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
212556032 = 28 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164,-352] |
[a1,a2,a3,a4,a6] |
Generators |
[218:969:8] |
Generators of the group modulo torsion |
j |
390224/169 |
j-invariant |
L |
9.6569520211997 |
L(r)(E,1)/r! |
Ω |
1.3870144370534 |
Real period |
R |
3.4812009749408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30056k2 60112g2 |
Quadratic twists by: -4 17 |