Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192bk |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1787759056125952 = -1 · 218 · 79 · 132 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4688,-2028972] |
[a1,a2,a3,a4,a6] |
j |
68921/10816 |
j-invariant |
L |
0.88889883158164 |
L(r)(E,1)/r! |
Ω |
0.22222470789541 |
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 |
1274m1 40768cw1 91728fv1 10192y1 |
Quadratic twists by: -4 8 -3 -7 |