Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
774h |
Isogeny class |
Conductor |
774 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1568 |
Modular degree for the optimal curve |
Δ |
1123219685376 = 214 · 313 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17249,-866127] |
[a1,a2,a3,a4,a6] |
j |
778510269523657/1540767744 |
j-invariant |
L |
2.9164881572036 |
L(r)(E,1)/r! |
Ω |
0.4166411653148 |
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 |
6192p1 24768p1 258b1 19350n1 |
Quadratic twists by: -4 8 -3 5 |