Atkin-Lehner |
2- 3+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16974i |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1041493764294 = -1 · 2 · 33 · 234 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 4 1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2348,66373] |
[a1,a2,a3,a4,a6] |
j |
-53000603012547/38573843122 |
j-invariant |
L |
3.2217794703468 |
L(r)(E,1)/r! |
Ω |
0.8054448675867 |
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 |
16974a1 |
Quadratic twists by: -3 |