Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170q |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
544602366000000 = 27 · 38 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31353032,-67585167936] |
[a1,a2,a3,a4,a6] |
j |
9937296563535244838593567/1587762000000 |
j-invariant |
L |
0.76561584426381 |
L(r)(E,1)/r! |
Ω |
0.063801320355318 |
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 |
129360hm2 48510ct2 80850go2 16170w2 |
Quadratic twists by: -4 -3 5 -7 |