Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560p |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-418999563525600000 = -1 · 28 · 316 · 55 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -4 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68532,30368108] |
[a1,a2,a3,a4,a6] |
Generators |
[721:21321:1] |
Generators of the group modulo torsion |
j |
190737654201344/2245153696875 |
j-invariant |
L |
4.8852390815347 |
L(r)(E,1)/r! |
Ω |
0.2203380308856 |
Real period |
R |
3.6952609148616 |
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 |
8280f1 66240ga1 5520c1 82800x1 |
Quadratic twists by: -4 8 -3 5 |