Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056k |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
16 |
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 |
[-14:10:1] [-6:34:1] |
Generators of the group modulo torsion |
j |
390224/169 |
j-invariant |
L |
4.4449665678236 |
L(r)(E,1)/r! |
Ω |
1.6014877110204 |
Real period |
R |
0.69388084236256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60112f2 30056h2 |
Quadratic twists by: -4 17 |