Atkin-Lehner |
3- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119145j |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-1299482569246875 = -1 · 3 · 55 · 137 · 472 |
Discriminant |
Eigenvalues |
0 3- 5- 3 -5 13+ 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,25125,-803071] |
[a1,a2,a3,a4,a6] |
Generators |
[1317:19844:27] |
Generators of the group modulo torsion |
j |
363382931456/269221875 |
j-invariant |
L |
8.7007747156444 |
L(r)(E,1)/r! |
Ω |
0.27068980757992 |
Real period |
R |
1.60714857293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999949969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9165b1 |
Quadratic twists by: 13 |