Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544bn |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-736486841664 = -1 · 26 · 39 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1401,-36020] |
[a1,a2,a3,a4,a6] |
Generators |
[118010:1331451:1000] |
Generators of the group modulo torsion |
j |
6518244032/15785469 |
j-invariant |
L |
7.8775220200911 |
L(r)(E,1)/r! |
Ω |
0.46562156857145 |
Real period |
R |
8.459146387131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544cn1 34272bh2 22848w1 |
Quadratic twists by: -4 8 -3 |