Atkin-Lehner |
3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6783f |
Isogeny class |
Conductor |
6783 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
23341137309 = 36 · 73 · 173 · 19 |
Discriminant |
Eigenvalues |
0 3- -3 7- 0 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3197,68132] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:178:1] |
Generators of the group modulo torsion |
j |
3614826507010048/23341137309 |
j-invariant |
L |
3.3122514511735 |
L(r)(E,1)/r! |
Ω |
1.2075259311857 |
Real period |
R |
0.45716774627512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
108528q1 20349i1 47481c1 115311d1 |
Quadratic twists by: -4 -3 -7 17 |