Atkin-Lehner |
3- 7+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51471j |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.507113712794E+23 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162221886,794941352127] |
[a1,a2,a3,a4,a6] |
j |
647626369966058460539199457/343911346062273590769 |
j-invariant |
L |
3.1129005170233 |
L(r)(E,1)/r! |
Ω |
0.097278141193493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17157j2 |
Quadratic twists by: -3 |