Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dk |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.6181896433804E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7570443,7320342458] |
[a1,a2,a3,a4,a6] |
Generators |
[1999:13230:1] |
Generators of the group modulo torsion |
j |
16069416876629693641/1546622367494400 |
j-invariant |
L |
4.3282197987378 |
L(r)(E,1)/r! |
Ω |
0.13368635773793 |
Real period |
R |
4.0469909128036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983548 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10710bb2 28560cu2 |
Quadratic twists by: -4 -3 |