Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560cg |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-88697430000 = -1 · 24 · 36 · 54 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417,14699] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:115:1] |
Generators of the group modulo torsion |
j |
-687518464/7604375 |
j-invariant |
L |
5.6360153573739 |
L(r)(E,1)/r! |
Ω |
0.91451276777023 |
Real period |
R |
0.51357177614148 |
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 |
4140f1 66240fd1 1840f1 82800do1 |
Quadratic twists by: -4 8 -3 5 |