Atkin-Lehner |
2- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52288q |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43929600 |
Modular degree for the optimal curve |
Δ |
-4.6254755242401E+26 |
Discriminant |
Eigenvalues |
2- -3 -2 -3 6 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,192599444,110832943696] |
[a1,a2,a3,a4,a6] |
j |
3014039068081427225638287/1764478883453394378752 |
j-invariant |
L |
1.1483013434439 |
L(r)(E,1)/r! |
Ω |
0.031897259517948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288j1 13072j1 |
Quadratic twists by: -4 8 |