Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728q |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-10634264576 = -1 · 217 · 13 · 792 |
Discriminant |
Eigenvalues |
2- -1 -3 1 0 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,543,-1151] |
[a1,a2,a3,a4,a6] |
Generators |
[43:316:1] |
Generators of the group modulo torsion |
j |
134838286/81133 |
j-invariant |
L |
3.4442762088878 |
L(r)(E,1)/r! |
Ω |
0.74628382997459 |
Real period |
R |
1.1538090706816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728b1 16432c1 |
Quadratic twists by: -4 8 |