Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280w |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-156737280 = -1 · 28 · 3 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20,608] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:656:27] |
Generators of the group modulo torsion |
j |
3286064/612255 |
j-invariant |
L |
5.763362641123 |
L(r)(E,1)/r! |
Ω |
1.4066167586396 |
Real period |
R |
4.0973226045573 |
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 |
28560x1 114240f1 42840br1 71400cw1 |
Quadratic twists by: -4 8 -3 5 |