Atkin-Lehner |
2- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
89540a |
Isogeny class |
Conductor |
89540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-4.4191736025123E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-330088,-328060887] |
[a1,a2,a3,a4,a6] |
Generators |
[31964:5713725:1] |
Generators of the group modulo torsion |
j |
-105428680704/1171350625 |
j-invariant |
L |
5.796363286997 |
L(r)(E,1)/r! |
Ω |
0.086146599895717 |
Real period |
R |
5.6070729907531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89540b1 |
Quadratic twists by: -11 |