Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bn |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2807220557295E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8965105,-10471422863] |
[a1,a2,a3,a4,a6] |
Generators |
[6855782357534520335997452815100632:-466915238855568331771296436174947441:1084772181149837168275830235211] |
Generators of the group modulo torsion |
j |
-120527903507632/1937102445 |
j-invariant |
L |
4.8028156072447 |
L(r)(E,1)/r! |
Ω |
0.043582898755725 |
Real period |
R |
55.099772437678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040hb2 5880bd2 47040cp2 |
Quadratic twists by: -4 8 -7 |