Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7872y |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45174951936 = 212 · 38 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8857,-317735] |
[a1,a2,a3,a4,a6] |
Generators |
[3309:190240:1] |
Generators of the group modulo torsion |
j |
18761723501248/11029041 |
j-invariant |
L |
3.4847818534766 |
L(r)(E,1)/r! |
Ω |
0.49214052823616 |
Real period |
R |
7.0808674627269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7872bh2 3936f1 23616bt2 |
Quadratic twists by: -4 8 -3 |