Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204m |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
150364522281168 = 24 · 34 · 137 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61741,-5895928] |
[a1,a2,a3,a4,a6] |
Generators |
[-1182380:1202079:8000] |
Generators of the group modulo torsion |
j |
337032380416/1946997 |
j-invariant |
L |
11.64419947603 |
L(r)(E,1)/r! |
Ω |
0.30297489198082 |
Real period |
R |
9.6082214994437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708g1 |
Quadratic twists by: 13 |