Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560dg |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
40410800640000 = 212 · 33 · 54 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18536,-928140] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:150:1] |
Generators of the group modulo torsion |
j |
171963096231529/9865918125 |
j-invariant |
L |
6.6749533167229 |
L(r)(E,1)/r! |
Ω |
0.41062562605263 |
Real period |
R |
1.3546307742021 |
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 |
1785b4 114240gx3 85680fk3 |
Quadratic twists by: -4 8 -3 |