Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200bq |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
184960000000000 = 216 · 510 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16300,-462000] |
[a1,a2,a3,a4,a6] |
j |
467720676/180625 |
j-invariant |
L |
0.87318106508761 |
L(r)(E,1)/r! |
Ω |
0.43659053254354 |
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 |
27200a2 6800a2 5440v2 |
Quadratic twists by: -4 8 5 |