Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778w |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
8.9451457402891E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1789998,-801780924] |
[a1,a2,a3,a4,a6] |
Generators |
[88536:4521062:27] |
Generators of the group modulo torsion |
j |
634280506750102283142625/89451457402891096128 |
j-invariant |
L |
7.5872707139375 |
L(r)(E,1)/r! |
Ω |
0.13174734825536 |
Real period |
R |
1.5997097673882 |
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 |
70224bi3 26334w3 61446bm3 96558w3 |
Quadratic twists by: -4 -3 -7 -11 |