Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dm |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-669347813736000000 = -1 · 29 · 315 · 56 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24295,-39341703] |
[a1,a2,a3,a4,a6] |
Generators |
[323:1296:1] |
Generators of the group modulo torsion |
j |
139233463487/58763045376 |
j-invariant |
L |
8.2640681287166 |
L(r)(E,1)/r! |
Ω |
0.13451567501454 |
Real period |
R |
1.7065479394306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850e1 2142j1 |
Quadratic twists by: -3 5 |