Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1520g |
Isogeny class |
Conductor |
1520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-3984588800 = -1 · 223 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 5 4 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-763,-8662] |
[a1,a2,a3,a4,a6] |
j |
-11993263569/972800 |
j-invariant |
L |
3.6167264186687 |
L(r)(E,1)/r! |
Ω |
0.45209080233359 |
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 |
190a1 6080x1 13680bq1 7600n1 |
Quadratic twists by: -4 8 -3 5 |