Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096k |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
37815621743952 = 24 · 32 · 135 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122923,16544600] |
[a1,a2,a3,a4,a6] |
j |
12838276213282048000/2363476358997 |
j-invariant |
L |
0.62930688296461 |
L(r)(E,1)/r! |
Ω |
0.62930688296461 |
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 |
9048a1 72384cm1 54288g1 |
Quadratic twists by: -4 8 -3 |