Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350f |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-291441565279027200 = -1 · 215 · 3 · 52 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5630,25975540] |
[a1,a2,a3,a4,a6] |
Generators |
[-5043651:100140679:24389] |
Generators of the group modulo torsion |
j |
6655/98304 |
j-invariant |
L |
4.216302433194 |
L(r)(E,1)/r! |
Ω |
0.24283057779106 |
Real period |
R |
8.6815722952873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350dm2 43350bd1 |
Quadratic twists by: 5 17 |