Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320z |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5481590400000000 = 213 · 32 · 58 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45176,1000176] |
[a1,a2,a3,a4,a6] |
j |
2489411558640889/1338278906250 |
j-invariant |
L |
1.4981113252255 |
L(r)(E,1)/r! |
Ω |
0.37452783130836 |
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 |
4290k3 102960ei3 |
Quadratic twists by: -4 -3 |