Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650ca |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2275846875000 = -1 · 23 · 39 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 -1 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-194630,33097997] |
[a1,a2,a3,a4,a6] |
Generators |
[279:535:1] |
Generators of the group modulo torsion |
j |
-71581931663761/199800 |
j-invariant |
L |
6.5880418065364 |
L(r)(E,1)/r! |
Ω |
0.71254595552196 |
Real period |
R |
0.38524075508637 |
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 |
5550n1 3330h1 |
Quadratic twists by: -3 5 |