Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gz |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-27886037749678080 = -1 · 214 · 310 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105905,15473583] |
[a1,a2,a3,a4,a6] |
Generators |
[58:3087:1] |
Generators of the group modulo torsion |
j |
-68150496976/14467005 |
j-invariant |
L |
7.8801652862747 |
L(r)(E,1)/r! |
Ω |
0.35806543148101 |
Real period |
R |
1.1003806278773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bh2 11760bn2 6720bf2 |
Quadratic twists by: -4 8 -7 |