Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096n |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
101627136 = 28 · 34 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -6 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12532,-544180] |
[a1,a2,a3,a4,a6] |
Generators |
[143:780:1] |
Generators of the group modulo torsion |
j |
850314450802768/396981 |
j-invariant |
L |
5.8315079593785 |
L(r)(E,1)/r! |
Ω |
0.45122336756693 |
Real period |
R |
3.2309430198745 |
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 |
9048d2 72384bz2 54288t2 |
Quadratic twists by: -4 8 -3 |