Atkin-Lehner |
2- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52288s |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-993472 = -1 · 26 · 192 · 43 |
Discriminant |
Eigenvalues |
2- -2 2 4 -5 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[42:95:8] |
Generators of the group modulo torsion |
j |
32768/15523 |
j-invariant |
L |
5.2334737568295 |
L(r)(E,1)/r! |
Ω |
1.3005716656662 |
Real period |
R |
2.0119897638139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288d1 13072g1 |
Quadratic twists by: -4 8 |