Atkin-Lehner |
2- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41038i |
Isogeny class |
Conductor |
41038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
99065732 = 22 · 173 · 712 |
Discriminant |
Eigenvalues |
2- -2 -2 4 2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1774,28608] |
[a1,a2,a3,a4,a6] |
j |
125676215729/20164 |
j-invariant |
L |
3.6634927593834 |
L(r)(E,1)/r! |
Ω |
1.8317463796811 |
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 |
41038q1 |
Quadratic twists by: 17 |