Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160ba |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1748249231134556160 = 221 · 38 · 5 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-558081,147136095] |
[a1,a2,a3,a4,a6] |
j |
73329087328692481/6669041561640 |
j-invariant |
L |
2.0654302942421 |
L(r)(E,1)/r! |
Ω |
0.25817878656626 |
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 |
68160ce3 2130k3 |
Quadratic twists by: -4 8 |