Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dq |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-18185389747470336 = -1 · 234 · 3 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 0 5 -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44705,-7453473] |
[a1,a2,a3,a4,a6] |
Generators |
[75467757:2444207148:68921] |
Generators of the group modulo torsion |
j |
-37693095294889/69371756544 |
j-invariant |
L |
10.921932215777 |
L(r)(E,1)/r! |
Ω |
0.15472885750897 |
Real period |
R |
11.764593002773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064j1 32016q1 |
Quadratic twists by: -4 8 |