Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cz |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
4018894447835086848 = 224 · 37 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 6 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-795776,255378612] |
[a1,a2,a3,a4,a6] |
j |
115650783909361/8339853312 |
j-invariant |
L |
6.7842948588704 |
L(r)(E,1)/r! |
Ω |
0.24229624496238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586x1 6384ba1 |
Quadratic twists by: -4 -7 |