Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450bm |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
3.6319537615424E+25 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-96969188,-225859809008] |
[a1,a2,a3,a4,a6] |
Generators |
[-3468:263884:1] |
Generators of the group modulo torsion |
j |
54855063622783623529/19757502464000000 |
j-invariant |
L |
7.733412087862 |
L(r)(E,1)/r! |
Ω |
0.049551808623258 |
Real period |
R |
4.3352000377268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20090c3 14350p3 |
Quadratic twists by: 5 -7 |