Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550dx |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-49968576000000 = -1 · 212 · 38 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,220,-340153] |
[a1,a2,a3,a4,a6] |
Generators |
[129:-1415:1] |
Generators of the group modulo torsion |
j |
103823/4386816 |
j-invariant |
L |
10.712462281107 |
L(r)(E,1)/r! |
Ω |
0.29203770946532 |
Real period |
R |
0.76420369798253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850s1 2142d1 |
Quadratic twists by: -3 5 |