Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170ca |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
112359574490625000 = 23 · 34 · 58 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120786,-995940] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:3134:1] |
Generators of the group modulo torsion |
j |
4829379946327/2784375000 |
j-invariant |
L |
8.6078648006631 |
L(r)(E,1)/r! |
Ω |
0.2791046861828 |
Real period |
R |
2.5700824895936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360dz2 48510bk2 80850v2 16170bu2 |
Quadratic twists by: -4 -3 5 -7 |