Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280r |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
685440000 = 210 · 32 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22856,1322400] |
[a1,a2,a3,a4,a6] |
Generators |
[91:66:1] |
Generators of the group modulo torsion |
j |
1289565597856036/669375 |
j-invariant |
L |
6.0686063987116 |
L(r)(E,1)/r! |
Ω |
1.3211589622064 |
Real period |
R |
2.2966980402482 |
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 |
28560b4 114240cg4 42840cm4 71400cl4 |
Quadratic twists by: -4 8 -3 5 |