Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160bm |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
44599541760000 = 219 · 33 · 54 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16065,-720225] |
[a1,a2,a3,a4,a6] |
j |
1749254553649/170133750 |
j-invariant |
L |
5.1205313508974 |
L(r)(E,1)/r! |
Ω |
0.42671094678155 |
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 |
68160cm2 2130h2 |
Quadratic twists by: -4 8 |