Atkin-Lehner |
2+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126736a |
Isogeny class |
Conductor |
126736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5513728 |
Modular degree for the optimal curve |
Δ |
-3.5876495739646E+20 |
Discriminant |
Eigenvalues |
2+ 1 -3 4 -4 -4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1644928,-413085724] |
[a1,a2,a3,a4,a6] |
Generators |
[51951822170944:2712783720719282:25855561493] |
Generators of the group modulo torsion |
j |
1372 |
j-invariant |
L |
6.2988934665347 |
L(r)(E,1)/r! |
Ω |
0.095489267950078 |
Real period |
R |
16.491103141108 |
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 |
63368c1 126736b1 |
Quadratic twists by: -4 89 |