Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18200o |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1272960 |
Modular degree for the optimal curve |
Δ |
-4.3238234784911E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10064375,-33939840625] |
[a1,a2,a3,a4,a6] |
Generators |
[128276791:1506808459:29791] |
Generators of the group modulo torsion |
j |
-721546155312825600/2767247026234327 |
j-invariant |
L |
4.1560531587795 |
L(r)(E,1)/r! |
Ω |
0.038748962171501 |
Real period |
R |
13.406982167629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36400n1 18200j1 127400bg1 |
Quadratic twists by: -4 5 -7 |