Atkin-Lehner |
2+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728b |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
8 |
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 |
[115:1264:1] |
Generators of the group modulo torsion |
j |
134838286/81133 |
j-invariant |
L |
4.7624210127701 |
L(r)(E,1)/r! |
Ω |
0.78613439657313 |
Real period |
R |
0.75725299548745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728q1 8216a1 |
Quadratic twists by: -4 8 |