Atkin-Lehner |
2+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960s |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-429178880 = -1 · 214 · 5 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -4 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-995] |
[a1,a2,a3,a4,a6] |
Generators |
[12:23:1] |
Generators of the group modulo torsion |
j |
-1024/26195 |
j-invariant |
L |
4.4897980597349 |
L(r)(E,1)/r! |
Ω |
0.7642159826405 |
Real period |
R |
2.9375191540511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997462203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960bn1 16120b1 |
Quadratic twists by: -4 8 |