Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064cq |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
854016 |
Modular degree for the optimal curve |
Δ |
-24930475008 = -1 · 210 · 3 · 234 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -5 -1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-513089,141632313] |
[a1,a2,a3,a4,a6] |
Generators |
[408:207:1] |
Generators of the group modulo torsion |
j |
-14588233766058627328/24346167 |
j-invariant |
L |
3.3687998702109 |
L(r)(E,1)/r! |
Ω |
0.76991521229318 |
Real period |
R |
1.093886645796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064ba1 32016k1 |
Quadratic twists by: -4 8 |