Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870s |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-951478471164150 = -1 · 2 · 35 · 52 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24587,21806] |
[a1,a2,a3,a4,a6] |
j |
20991479/12150 |
j-invariant |
L |
2.9664387629631 |
L(r)(E,1)/r! |
Ω |
0.29664387629631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126960cc1 47610bx1 79350co1 15870n1 |
Quadratic twists by: -4 -3 5 -23 |