Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376bb |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14959815671808 = 214 · 310 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20235,-1092166] |
[a1,a2,a3,a4,a6] |
Generators |
[250:3078:1] |
Generators of the group modulo torsion |
j |
306863943625/5010012 |
j-invariant |
L |
5.7819937208004 |
L(r)(E,1)/r! |
Ω |
0.40068552088574 |
Real period |
R |
3.607563425308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922p2 15792p2 |
Quadratic twists by: -4 -3 |