Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6160o |
Isogeny class |
Conductor |
6160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-555089920000 = -1 · 220 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,520,-35728] |
[a1,a2,a3,a4,a6] |
j |
3789119879/135520000 |
j-invariant |
L |
3.5503338114302 |
L(r)(E,1)/r! |
Ω |
0.44379172642877 |
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 |
770d1 24640bq1 55440dp1 30800be1 |
Quadratic twists by: -4 8 -3 5 |