Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064bs |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-198092410723008 = -1 · 26 · 38 · 23 · 295 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -4 5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2755,675789] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:783:1] [52:981:1] |
Generators of the group modulo torsion |
j |
36120262639616/3095193917547 |
j-invariant |
L |
9.3666797453323 |
L(r)(E,1)/r! |
Ω |
0.43247401926442 |
Real period |
R |
0.54145910082622 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064cl1 2001b1 |
Quadratic twists by: -4 8 |