Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560n |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-4191750000 = -1 · 24 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1683,26757] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:125:1] |
Generators of the group modulo torsion |
j |
-45198971136/359375 |
j-invariant |
L |
5.0653339716888 |
L(r)(E,1)/r! |
Ω |
1.3930294600854 |
Real period |
R |
1.818100089347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8280u1 66240fx1 1840c1 82800t1 |
Quadratic twists by: -4 8 -3 5 |