Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870k |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-457056000000 = -1 · 211 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-874,-34084] |
[a1,a2,a3,a4,a6] |
Generators |
[48:163:1] |
Generators of the group modulo torsion |
j |
-139343861641/864000000 |
j-invariant |
L |
4.3720916408325 |
L(r)(E,1)/r! |
Ω |
0.39212194821542 |
Real period |
R |
1.858304396005 |
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 |
126960bd1 47610cf1 79350cj1 15870r1 |
Quadratic twists by: -4 -3 5 -23 |