Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680cm |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.0604671875E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93858241,-4966956409441] |
[a1,a2,a3,a4,a6] |
Generators |
[27725:3707172:1] |
Generators of the group modulo torsion |
j |
-348819718507793207040241/40453612804412841796875 |
j-invariant |
L |
6.439609577598 |
L(r)(E,1)/r! |
Ω |
0.017984441744035 |
Real period |
R |
7.4596996547252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999701314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680dl5 1995d6 |
Quadratic twists by: -4 8 |