Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4788a |
Isogeny class |
Conductor |
4788 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-162894633863472 = -1 · 24 · 313 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1020,614189] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:486:1] |
Generators of the group modulo torsion |
j |
-10061824000/13965589323 |
j-invariant |
L |
3.6570473202424 |
L(r)(E,1)/r! |
Ω |
0.46287278993716 |
Real period |
R |
1.9751902681182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152bw1 76608bp1 1596a1 119700ba1 |
Quadratic twists by: -4 8 -3 5 |