Atkin-Lehner |
2+ 3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
23634h |
Isogeny class |
Conductor |
23634 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1900965283790976 = -1 · 27 · 38 · 133 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1619496,793672128] |
[a1,a2,a3,a4,a6] |
j |
-644370980696596423297/2607634134144 |
j-invariant |
L |
0.82325020242587 |
L(r)(E,1)/r! |
Ω |
0.41162510121292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7878g2 |
Quadratic twists by: -3 |