Atkin-Lehner |
3- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
52887c |
Isogeny class |
Conductor |
52887 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4464 |
Modular degree for the optimal curve |
Δ |
-158661 = -1 · 32 · 172 · 61 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -3 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11,14] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
506447/549 |
j-invariant |
L |
3.4127337083192 |
L(r)(E,1)/r! |
Ω |
2.1477930057544 |
Real period |
R |
0.79447453716054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52887b1 |
Quadratic twists by: 17 |