Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bu |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
955040625000 = 23 · 34 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2465,1847] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:196:1] |
Generators of the group modulo torsion |
j |
4829379946327/2784375000 |
j-invariant |
L |
6.7755333655708 |
L(r)(E,1)/r! |
Ω |
0.75043789980918 |
Real period |
R |
0.37619887042472 |
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 |
129360hr2 48510t2 80850cq2 16170ca2 |
Quadratic twists by: -4 -3 5 -7 |