Atkin-Lehner |
2- 3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16974j |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2147045469552 = -1 · 24 · 38 · 233 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,805,-70149] |
[a1,a2,a3,a4,a6] |
Generators |
[89:792:1] |
Generators of the group modulo torsion |
j |
79229972375/2945192688 |
j-invariant |
L |
8.2287585960294 |
L(r)(E,1)/r! |
Ω |
0.39624025749624 |
Real period |
R |
2.5958867254003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5658c1 |
Quadratic twists by: -3 |