Atkin-Lehner |
2+ 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792a |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1125692674670592 = -1 · 230 · 34 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57953,5626593] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:3096:1] |
Generators of the group modulo torsion |
j |
-82114348569625/4294176768 |
j-invariant |
L |
4.3181842884263 |
L(r)(E,1)/r! |
Ω |
0.48317273372893 |
Real period |
R |
2.2342859950114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792da1 1806c1 |
Quadratic twists by: -4 8 |