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 |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
1147702608 = 24 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -6 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-787,-8608] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:12:1] |
Generators of the group modulo torsion |
j |
3373491693568/71731413 |
j-invariant |
L |
5.8315079593785 |
L(r)(E,1)/r! |
Ω |
0.90244673513386 |
Real period |
R |
1.6154715099372 |
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 |
9048d1 72384bz1 54288t1 |
Quadratic twists by: -4 8 -3 |