Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170i |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1373283688218750 = 2 · 32 · 56 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42753,2880207] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:2157:1] |
Generators of the group modulo torsion |
j |
214169197087/34031250 |
j-invariant |
L |
2.9836413749962 |
L(r)(E,1)/r! |
Ω |
0.46010629951927 |
Real period |
R |
1.6211695960877 |
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 |
129360ga2 48510du2 80850gn2 16170be2 |
Quadratic twists by: -4 -3 5 -7 |