Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200br |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1183744000000 = 218 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9100,330000] |
[a1,a2,a3,a4,a6] |
j |
20346417/289 |
j-invariant |
L |
1.7365578947564 |
L(r)(E,1)/r! |
Ω |
0.86827894737857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27200c2 6800h2 1088k2 |
Quadratic twists by: -4 8 5 |