Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870r |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
-6.7660691282784E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-462093,413772808] |
[a1,a2,a3,a4,a6] |
j |
-139343861641/864000000 |
j-invariant |
L |
1.0114943721592 |
L(r)(E,1)/r! |
Ω |
0.16858239535986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126960bs1 47610bt1 79350ch1 15870k1 |
Quadratic twists by: -4 -3 5 -23 |