Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296bu |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
279936 |
Modular degree for the optimal curve |
Δ |
-4596673971456 = -1 · 28 · 39 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4452,155484] |
[a1,a2,a3,a4,a6] |
j |
-292571728/137781 |
j-invariant |
L |
0.72202094782264 |
L(r)(E,1)/r! |
Ω |
0.72201971498036 |
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 |
30324k1 121296cu1 |
Quadratic twists by: -4 -19 |