Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240cs |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2252969717760000 = 215 · 314 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33132,415856] |
[a1,a2,a3,a4,a6] |
j |
168379496648/94314375 |
j-invariant |
L |
3.1909592978819 |
L(r)(E,1)/r! |
Ω |
0.39886991191359 |
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 |
66240cg3 33120bd3 22080a3 |
Quadratic twists by: -4 8 -3 |