Atkin-Lehner |
2- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720q |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-386012999680 = -1 · 212 · 5 · 72 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1584,-16940] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-374:1] |
Generators of the group modulo torsion |
j |
107239576751/94241455 |
j-invariant |
L |
3.4396080932835 |
L(r)(E,1)/r! |
Ω |
0.52295140644437 |
Real period |
R |
0.54810830698013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999216604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6545c1 |
Quadratic twists by: -4 |