Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805b |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
886302195889405725 = 39 · 52 · 239 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1786268,-917335718] |
[a1,a2,a3,a4,a6] |
j |
17779581/25 |
j-invariant |
L |
0.26120385807404 |
L(r)(E,1)/r! |
Ω |
0.13060192903703 |
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 |
23805e2 119025f2 23805f2 |
Quadratic twists by: -3 5 -23 |