Atkin-Lehner |
3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6273b |
Isogeny class |
Conductor |
6273 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
41157153 = 310 · 17 · 41 |
Discriminant |
Eigenvalues |
-1 3- 2 4 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,290] |
[a1,a2,a3,a4,a6] |
j |
169112377/56457 |
j-invariant |
L |
1.8767871246105 |
L(r)(E,1)/r! |
Ω |
1.8767871246105 |
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 |
100368ca1 2091a1 106641e1 |
Quadratic twists by: -4 -3 17 |