Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576cu |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-32915456 = -1 · 214 · 72 · 41 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 3 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177,1009] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:8:1] [9:8:1] |
Generators of the group modulo torsion |
j |
-768208/41 |
j-invariant |
L |
8.1544454741668 |
L(r)(E,1)/r! |
Ω |
2.0501542061026 |
Real period |
R |
0.99436977148533 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576bh1 32144v1 128576by1 |
Quadratic twists by: -4 8 -7 |