Atkin-Lehner |
2+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728d |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2843656192 = -1 · 214 · 133 · 79 |
Discriminant |
Eigenvalues |
2+ -2 4 3 2 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,-2573] |
[a1,a2,a3,a4,a6] |
Generators |
[470304:556235:32768] |
Generators of the group modulo torsion |
j |
-65536/173563 |
j-invariant |
L |
6.5750273155637 |
L(r)(E,1)/r! |
Ω |
0.64873537002977 |
Real period |
R |
10.135145421481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728r1 4108a1 |
Quadratic twists by: -4 8 |