Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496h |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-457163239653376 = -1 · 216 · 178 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18111,428191] |
[a1,a2,a3,a4,a6] |
Generators |
[45:1156:1] |
Generators of the group modulo torsion |
j |
415292/289 |
j-invariant |
L |
2.1464735820263 |
L(r)(E,1)/r! |
Ω |
0.33331654504351 |
Real period |
R |
1.6099362707498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18496p2 2312c2 1088f2 |
Quadratic twists by: -4 8 17 |