Atkin-Lehner |
3- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6783c |
Isogeny class |
Conductor |
6783 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
3203685513 = 35 · 74 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7116337,-7307488168] |
[a1,a2,a3,a4,a6] |
Generators |
[50216:11211572:1] |
Generators of the group modulo torsion |
j |
39855956368379837196953233/3203685513 |
j-invariant |
L |
3.5079257145409 |
L(r)(E,1)/r! |
Ω |
0.092434783379752 |
Real period |
R |
7.5900555749218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528s4 20349g4 47481i4 115311j4 |
Quadratic twists by: -4 -3 -7 17 |