Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529v |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.1717088175998E+23 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8744736,-24531185156] |
[a1,a2,a3,a4,a6] |
Generators |
[1589666:708541115:8] |
Generators of the group modulo torsion |
j |
-178643795968/524596891 |
j-invariant |
L |
6.0377586568756 |
L(r)(E,1)/r! |
Ω |
0.040614072902228 |
Real period |
R |
9.2913586124735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8281d3 10647c3 5733f3 |
Quadratic twists by: -3 -7 13 |