Atkin-Lehner |
2- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
56848k |
Isogeny class |
Conductor |
56848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
3041595392 = 212 · 112 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 11- -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-584,-4940] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:8:1] [-12:22:1] |
Generators of the group modulo torsion |
j |
5386984777/742577 |
j-invariant |
L |
5.2590611351638 |
L(r)(E,1)/r! |
Ω |
0.97991547673919 |
Real period |
R |
1.3417129487188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3553b1 |
Quadratic twists by: -4 |