Atkin-Lehner |
2+ 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150cj |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-4998781521396000 = -1 · 25 · 311 · 53 · 135 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 3 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-715977,-233028819] |
[a1,a2,a3,a4,a6] |
j |
-445434371456209829/54856312992 |
j-invariant |
L |
1.641238728999 |
L(r)(E,1)/r! |
Ω |
0.082061897329705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050cp2 111150et2 |
Quadratic twists by: -3 5 |