Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150dw |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-118679523300 = -1 · 22 · 37 · 52 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1940,37307] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2935:1] |
Generators of the group modulo torsion |
j |
-44284472545/6511908 |
j-invariant |
L |
11.231598200304 |
L(r)(E,1)/r! |
Ω |
1.0136416599746 |
Real period |
R |
1.3850553147003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050w1 111150ck1 |
Quadratic twists by: -3 5 |