Atkin-Lehner |
2- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16450s |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
28560 |
Modular degree for the optimal curve |
Δ |
-16450000000 = -1 · 27 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19513,1041031] |
[a1,a2,a3,a4,a6] |
Generators |
[85:32:1] |
Generators of the group modulo torsion |
j |
-2103474260785/42112 |
j-invariant |
L |
10.062535492817 |
L(r)(E,1)/r! |
Ω |
1.1396250135848 |
Real period |
R |
0.42046142466944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16450f1 115150cy1 |
Quadratic twists by: 5 -7 |