Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960cq |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6128640 |
Modular degree for the optimal curve |
Δ |
-1.0860999943707E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 4 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13292742,-19316048299] |
[a1,a2,a3,a4,a6] |
Generators |
[57802:13868415:1] |
Generators of the group modulo torsion |
j |
-3632318464/151875 |
j-invariant |
L |
8.8026369635849 |
L(r)(E,1)/r! |
Ω |
0.039437023486045 |
Real period |
R |
6.9752323843082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320b1 129960bg1 |
Quadratic twists by: -3 -19 |