Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170cf |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1612129461931344510 = -1 · 2 · 32 · 5 · 718 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,138620,-57756658] |
[a1,a2,a3,a4,a6] |
Generators |
[17492:39359:64] |
Generators of the group modulo torsion |
j |
2503876820718671/13702874328990 |
j-invariant |
L |
9.236139108387 |
L(r)(E,1)/r! |
Ω |
0.13389117932646 |
Real period |
R |
8.6228039394093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360fo3 48510x3 80850i3 2310m4 |
Quadratic twists by: -4 -3 5 -7 |