Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ew |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.2000019006633E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163926561,-612278041761] |
[a1,a2,a3,a4,a6] |
Generators |
[-6441:420000:1] |
Generators of the group modulo torsion |
j |
1858368248693819973741961/457764396920504296875 |
j-invariant |
L |
6.8933424851437 |
L(r)(E,1)/r! |
Ω |
0.042952289724083 |
Real period |
R |
2.006104517131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998407383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680o4 31920bd4 |
Quadratic twists by: -4 8 |