Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200bi |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
128640 |
Modular degree for the optimal curve |
Δ |
-639809280000 = -1 · 211 · 35 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1992,18288] |
[a1,a2,a3,a4,a6] |
Generators |
[39:396:1] |
Generators of the group modulo torsion |
j |
682595950/499851 |
j-invariant |
L |
10.351055789793 |
L(r)(E,1)/r! |
Ω |
0.5806640477308 |
Real period |
R |
1.7826238499777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200bl1 |
Quadratic twists by: 5 |