Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bp |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-70495229328562500 = -1 · 22 · 3 · 56 · 710 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-132105,22411227] |
[a1,a2,a3,a4,a6] |
j |
-902612375329/249562500 |
j-invariant |
L |
3.946449913951 |
L(r)(E,1)/r! |
Ω |
0.32887082616258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360ie2 48510bd2 80850cd2 16170bv2 |
Quadratic twists by: -4 -3 5 -7 |