Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170m |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5.1064032221737E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,61913043,1070949830301] |
[a1,a2,a3,a4,a6] |
Generators |
[-32979779:-2902156858:4913] |
Generators of the group modulo torsion |
j |
223090928422700449019831/4340371122724101696000 |
j-invariant |
L |
3.3182024421056 |
L(r)(E,1)/r! |
Ω |
0.038996594315457 |
Real period |
R |
7.0907953637854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360hy7 48510dk7 80850fx7 2310g8 |
Quadratic twists by: -4 -3 5 -7 |