Atkin-Lehner |
2- 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150es |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
50735496210750 = 2 · 39 · 53 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9950,-166273] |
[a1,a2,a3,a4,a6] |
j |
1195403416397/556768134 |
j-invariant |
L |
3.999905602398 |
L(r)(E,1)/r! |
Ω |
0.49998822415717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050be2 111150cg2 |
Quadratic twists by: -3 5 |