Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150s |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3564487950069E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-351302500,2533603822750] |
[a1,a2,a3,a4,a6] |
Generators |
[48015:-9840545:1] |
Generators of the group modulo torsion |
j |
306865036871749030137422401/86812722880440212250 |
j-invariant |
L |
3.8118309107971 |
L(r)(E,1)/r! |
Ω |
0.083685302177593 |
Real period |
R |
5.6936983132259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030z4 |
Quadratic twists by: 5 |