Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280bk |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21135360000 = 218 · 3 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44065,3545663] |
[a1,a2,a3,a4,a6] |
Generators |
[211:1920:1] |
Generators of the group modulo torsion |
j |
36097320816649/80625 |
j-invariant |
L |
6.8341764985298 |
L(r)(E,1)/r! |
Ω |
1.0446665940424 |
Real period |
R |
1.6354922559755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280ck4 645a4 123840bh4 |
Quadratic twists by: -4 8 -3 |