Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064c |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-43116032742653952 = -1 · 222 · 312 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36417,-10330047] |
[a1,a2,a3,a4,a6] |
Generators |
[14803151:288860416:29791] |
Generators of the group modulo torsion |
j |
-20375497153297/164474612208 |
j-invariant |
L |
5.4122347902636 |
L(r)(E,1)/r! |
Ω |
0.15217121072229 |
Real period |
R |
8.8916862044932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000313848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064dg1 4002o1 |
Quadratic twists by: -4 8 |