Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170o |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1757803120920 = 23 · 32 · 5 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72937,7551181] |
[a1,a2,a3,a4,a6] |
j |
1063394339743/43560 |
j-invariant |
L |
1.5730106529086 |
L(r)(E,1)/r! |
Ω |
0.78650532645429 |
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 |
129360hg2 48510cr2 80850gl2 16170v2 |
Quadratic twists by: -4 -3 5 -7 |