Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040br |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.161652658258E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1034815,323282625] |
[a1,a2,a3,a4,a6] |
Generators |
[2847:162288:1] |
Generators of the group modulo torsion |
j |
7947184069438/7533176175 |
j-invariant |
L |
5.4072195272657 |
L(r)(E,1)/r! |
Ω |
0.12251365561869 |
Real period |
R |
5.5169559466158 |
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 |
47040hd5 5880bc6 6720w6 |
Quadratic twists by: -4 8 -7 |