Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560dd |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
718414233600 = 214 · 3 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179296,-29281420] |
[a1,a2,a3,a4,a6] |
Generators |
[844:20526:1] |
Generators of the group modulo torsion |
j |
155624507032726369/175394100 |
j-invariant |
L |
5.8463619283889 |
L(r)(E,1)/r! |
Ω |
0.23201001491576 |
Real period |
R |
6.2996870313031 |
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 |
3570r4 114240gq4 85680ff4 |
Quadratic twists by: -4 8 -3 |