Atkin-Lehner |
2- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52288k |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-13385728 = -1 · 214 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 0 -2 -3 0 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,-176] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] [12:40:1] |
Generators of the group modulo torsion |
j |
432/817 |
j-invariant |
L |
7.7244615080937 |
L(r)(E,1)/r! |
Ω |
1.0392883648878 |
Real period |
R |
1.8581131495996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288e1 13072h1 |
Quadratic twists by: -4 8 |