Atkin-Lehner |
3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
106641b |
Isogeny class |
Conductor |
106641 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-14520345201 = -1 · 36 · 172 · 413 |
Discriminant |
Eigenvalues |
1 3- 1 -1 -3 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-564,7901] |
[a1,a2,a3,a4,a6] |
j |
-94268961/68921 |
j-invariant |
L |
1.1497680726146 |
L(r)(E,1)/r! |
Ω |
1.1497677599896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11849a1 106641j1 |
Quadratic twists by: -3 17 |