Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870bh |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4.5885342938086E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1319866,-1184505604] |
[a1,a2,a3,a4,a6] |
j |
-3247061909089/5859375000 |
j-invariant |
L |
3.587017976026 |
L(r)(E,1)/r! |
Ω |
0.066426258815296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126960bb2 47610z2 79350f2 15870bl2 |
Quadratic twists by: -4 -3 5 -23 |