Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150cd |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
6842394000000000 = 210 · 36 · 59 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97992,11140416] |
[a1,a2,a3,a4,a6] |
Generators |
[135:531:1] |
Generators of the group modulo torsion |
j |
73087061741/4805632 |
j-invariant |
L |
4.4943838264333 |
L(r)(E,1)/r! |
Ω |
0.41305639261697 |
Real period |
R |
2.7201998805689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350w1 111150ff1 |
Quadratic twists by: -3 5 |