Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300j |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
34663608281250000 = 24 · 310 · 510 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102133,8842762] |
[a1,a2,a3,a4,a6] |
Generators |
[-517686:9768650:2197] |
Generators of the group modulo torsion |
j |
471287826743296/138654433125 |
j-invariant |
L |
6.5993364532345 |
L(r)(E,1)/r! |
Ω |
0.34135737298378 |
Real period |
R |
9.6663159718143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260p1 |
Quadratic twists by: 5 |