Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870bc |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1174664779215000 = 23 · 3 · 54 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61375,-5640883] |
[a1,a2,a3,a4,a6] |
j |
172715635009/7935000 |
j-invariant |
L |
3.6501983530741 |
L(r)(E,1)/r! |
Ω |
0.30418319608951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126960dc2 47610q2 79350bg2 690h2 |
Quadratic twists by: -4 -3 5 -23 |