Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725f |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.0500231238355E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109695251,468879904523] |
[a1,a2,a3,a4,a6] |
Generators |
[66198:2826611:8] |
Generators of the group modulo torsion |
j |
-9342587178319196230359841/672014799254742854625 |
j-invariant |
L |
6.4373199960612 |
L(r)(E,1)/r! |
Ω |
0.07091592661259 |
Real period |
R |
5.6733729497993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32175i3 2145e4 117975bz3 |
Quadratic twists by: -3 5 -11 |