Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47124n |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-18810392832 = -1 · 28 · 36 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,585,3726] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-126:1] |
Generators of the group modulo torsion |
j |
118638000/100793 |
j-invariant |
L |
5.6048403598038 |
L(r)(E,1)/r! |
Ω |
0.7931048881547 |
Real period |
R |
0.58891331645885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5236a2 |
Quadratic twists by: -3 |