Atkin-Lehner |
2- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
6868a |
Isogeny class |
Conductor |
6868 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
439552 = 28 · 17 · 101 |
Discriminant |
Eigenvalues |
2- -3 0 -3 -1 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,-92] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] [-3:1:1] |
Generators of the group modulo torsion |
j |
27648000/1717 |
j-invariant |
L |
3.3782902860751 |
L(r)(E,1)/r! |
Ω |
1.9057698525862 |
Real period |
R |
0.59088811825684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27472n1 109888j1 61812a1 116756c1 |
Quadratic twists by: -4 8 -3 17 |