Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064dl |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
235520 |
Modular degree for the optimal curve |
Δ |
-488618459136 = -1 · 217 · 35 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 0 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1857,44991] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:144:1] [-27:276:1] |
Generators of the group modulo torsion |
j |
-5406090914/3727863 |
j-invariant |
L |
10.345329025443 |
L(r)(E,1)/r! |
Ω |
0.8594229062681 |
Real period |
R |
0.30093825030652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064f1 32016e1 |
Quadratic twists by: -4 8 |