Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1140c |
Isogeny class |
Conductor |
1140 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
64623225600 = 28 · 312 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1316,13284] |
[a1,a2,a3,a4,a6] |
j |
985329269584/252434475 |
j-invariant |
L |
2.0660411292116 |
L(r)(E,1)/r! |
Ω |
1.0330205646058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
4560l2 18240n2 3420c2 5700f2 |
Quadratic twists by: -4 8 -3 5 |