Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856g |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
444958272 = 26 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201,416] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:36:1] [-5:36:1] |
Generators of the group modulo torsion |
j |
19248832/9537 |
j-invariant |
L |
9.1277222186855 |
L(r)(E,1)/r! |
Ω |
1.4813975001334 |
Real period |
R |
1.5403904451482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856o1 107712ej1 17952o1 |
Quadratic twists by: -4 8 -3 |