Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
774d |
Isogeny class |
Conductor |
774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-1123219685376 = -1 · 214 · 313 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -5 -7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1431,-46899] |
[a1,a2,a3,a4,a6] |
Generators |
[66:543:1] |
Generators of the group modulo torsion |
j |
444369620591/1540767744 |
j-invariant |
L |
1.7881748996295 |
L(r)(E,1)/r! |
Ω |
0.44310020709001 |
Real period |
R |
1.0088998329368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6192o1 24768m1 258f1 19350by1 |
Quadratic twists by: -4 8 -3 5 |