Atkin-Lehner |
2- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52288p |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-6977765834752 = -1 · 216 · 195 · 43 |
Discriminant |
Eigenvalues |
2- -2 2 1 0 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15297,734143] |
[a1,a2,a3,a4,a6] |
j |
-6040751523268/106472257 |
j-invariant |
L |
1.4959508315708 |
L(r)(E,1)/r! |
Ω |
0.74797541505697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288h1 13072c1 |
Quadratic twists by: -4 8 |