Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096k |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-89041145583366912 = -1 · 28 · 3 · 1310 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110308,20086892] |
[a1,a2,a3,a4,a6] |
j |
-579840725763250000/347816974935027 |
j-invariant |
L |
0.62930688296461 |
L(r)(E,1)/r! |
Ω |
0.3146534414823 |
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 |
9048a2 72384cm2 54288g2 |
Quadratic twists by: -4 8 -3 |