Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32144o |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
222062947373940736 = 227 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1830264,-953397292] |
[a1,a2,a3,a4,a6] |
Generators |
[-577386:50176:729] |
Generators of the group modulo torsion |
j |
1407074115849193/460816384 |
j-invariant |
L |
8.0536611456384 |
L(r)(E,1)/r! |
Ω |
0.1298014775614 |
Real period |
R |
3.877874359052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018c2 128576ck2 4592i2 |
Quadratic twists by: -4 8 -7 |