Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650do |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-20355826176000 = -1 · 212 · 37 · 53 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27223,1740137] |
[a1,a2,a3,a4,a6] |
Generators |
[182:1589:1] |
Generators of the group modulo torsion |
j |
-17849359870674821/162846609408 |
j-invariant |
L |
11.640971781428 |
L(r)(E,1)/r! |
Ω |
0.68649045263642 |
Real period |
R |
0.033645283986338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650p1 |
Quadratic twists by: 5 |