Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560dm |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-305458996838400 = -1 · 224 · 39 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21708,1490832] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:800:1] [69:567:1] |
Generators of the group modulo torsion |
j |
-219256227/59200 |
j-invariant |
L |
11.138948573889 |
L(r)(E,1)/r! |
Ω |
0.51792851289214 |
Real period |
R |
5.3766824457382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560b1 26640z1 106560dv1 |
Quadratic twists by: -4 8 -3 |