Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bo |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-957440308533843750 = -1 · 2 · 3 · 56 · 78 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1187320,499691807] |
[a1,a2,a3,a4,a6] |
j |
-1573398910560073969/8138108343750 |
j-invariant |
L |
3.362251783954 |
L(r)(E,1)/r! |
Ω |
0.28018764866283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ic4 48510bc4 80850cc4 2310u4 |
Quadratic twists by: -4 -3 5 -7 |