Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160bi |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1387224146903040 = 223 · 38 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46945,3465215] |
[a1,a2,a3,a4,a6] |
Generators |
[83:384:1] |
Generators of the group modulo torsion |
j |
43647670634329/5291840160 |
j-invariant |
L |
8.5246296122476 |
L(r)(E,1)/r! |
Ω |
0.46409088414043 |
Real period |
R |
1.1480280457362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160cu2 2130a2 |
Quadratic twists by: -4 8 |