Atkin-Lehner |
2- 3- 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130cd |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
1380 |
Product of Tamagawa factors cp |
deg |
3444480 |
Modular degree for the optimal curve |
Δ |
-2.5260050227397E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131177,242533801] |
[a1,a2,a3,a4,a6] |
Generators |
[871:27644:1] [-611:10016:1] |
Generators of the group modulo torsion |
j |
-342425550990323529/34650274660352000 |
j-invariant |
L |
16.285893503254 |
L(r)(E,1)/r! |
Ω |
0.17435500556796 |
Real period |
R |
0.067685880686434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11570b1 |
Quadratic twists by: -3 |