Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gf |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
1008 |
Product of Tamagawa factors cp |
Δ |
-1.2717363755148E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-713161,589778135] |
[a1,a2,a3,a4,a6] |
Generators |
[-478:28665:1] |
Generators of the group modulo torsion |
j |
-9793256488426131904/31048251355341675 |
j-invariant |
L |
8.0809959489605 |
L(r)(E,1)/r! |
Ω |
0.16285815813522 |
Real period |
R |
0.19690413180824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ed2 43680bm1 |
Quadratic twists by: -4 8 |