Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160db |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
999227955609600 = 219 · 3 · 52 · 714 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57921,5126079] |
[a1,a2,a3,a4,a6] |
j |
81978400815121/3811752150 |
j-invariant |
L |
3.9062073189605 |
L(r)(E,1)/r! |
Ω |
0.48827591488036 |
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 |
68160d3 17040q4 |
Quadratic twists by: -4 8 |