Atkin-Lehner |
2- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52288r |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-301772992151552 = -1 · 233 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 1 2 1 -2 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10497,-936193] |
[a1,a2,a3,a4,a6] |
Generators |
[7102361:111198172:24389] |
Generators of the group modulo torsion |
j |
-488001047617/1151172608 |
j-invariant |
L |
8.8555521336336 |
L(r)(E,1)/r! |
Ω |
0.22017853588287 |
Real period |
R |
10.054967549575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288c1 13072f1 |
Quadratic twists by: -4 8 |