Atkin-Lehner |
3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025bk |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
116850348678515625 = 36 · 58 · 177 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-554067,158026216] |
[a1,a2,a3,a4,a6] |
j |
68417929/425 |
j-invariant |
L |
1.3355755626867 |
L(r)(E,1)/r! |
Ω |
0.33389388975935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7225e1 13005i1 3825h1 |
Quadratic twists by: -3 5 17 |