Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744bc |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.3176077191654E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28818939,-158475444950] |
[a1,a2,a3,a4,a6] |
Generators |
[47535350847885984067395138214454601549123257570955488061:6408177407417880501825403685406727174232165971535284560430:2375644162882188890099126615808350001435102931916467] |
Generators of the group modulo torsion |
j |
-886482566285905306297/3120447972650008576 |
j-invariant |
L |
10.081716201144 |
L(r)(E,1)/r! |
Ω |
0.029904446103229 |
Real period |
R |
84.282753192801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16218p2 14416m2 |
Quadratic twists by: -4 -3 |