Atkin-Lehner |
2+ 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808b |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
587464704 = 218 · 33 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,2800] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:64:1] |
Generators of the group modulo torsion |
j |
970299/83 |
j-invariant |
L |
4.3453988784964 |
L(r)(E,1)/r! |
Ω |
1.5925653493235 |
Real period |
R |
1.3642764739109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47808bi1 747b1 47808e1 |
Quadratic twists by: -4 8 -3 |