Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160ba |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
171262240358400 = 224 · 34 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545281,154798175] |
[a1,a2,a3,a4,a6] |
j |
68398358989207681/653313600 |
j-invariant |
L |
2.0654302942421 |
L(r)(E,1)/r! |
Ω |
0.51635757313251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68160ce2 2130k2 |
Quadratic twists by: -4 8 |