Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870v |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1722240 |
Modular degree for the optimal curve |
Δ |
1.6317896715183E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33258241,73553773823] |
[a1,a2,a3,a4,a6] |
Generators |
[2559:70912:1] |
Generators of the group modulo torsion |
j |
2258764829526743/9059696640 |
j-invariant |
L |
5.8284068618417 |
L(r)(E,1)/r! |
Ω |
0.12433507417799 |
Real period |
R |
3.6058931265898 |
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 |
126960ci1 47610x1 79350bd1 15870ba1 |
Quadratic twists by: -4 -3 5 -23 |