Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dx |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
deg |
67092480 |
Modular degree for the optimal curve |
Δ |
-1.3248981566319E+25 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -2 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1374938041,19623657555527] |
[a1,a2,a3,a4,a6] |
Generators |
[20258:290145:1] |
Generators of the group modulo torsion |
j |
-70179965163610934283134098624/3234614640214599547767 |
j-invariant |
L |
12.020516082489 |
L(r)(E,1)/r! |
Ω |
0.066657146683016 |
Real period |
R |
0.62615795922416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064cj1 64032h1 |
Quadratic twists by: -4 8 |