Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dy |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-10779008185663488 = -1 · 220 · 312 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-901985,329458719] |
[a1,a2,a3,a4,a6] |
Generators |
[469:3132:1] |
Generators of the group modulo torsion |
j |
-309586644846318169/41118653052 |
j-invariant |
L |
6.9587920819202 |
L(r)(E,1)/r! |
Ω |
0.39040697743195 |
Real period |
R |
0.742685667536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064n1 32016t1 |
Quadratic twists by: -4 8 |