Atkin-Lehner |
3- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025s |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3908203125 = 3 · 59 · 23 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33350001,-74132417477] |
[a1,a2,a3,a4,a6] |
j |
262537424941059264096001/250125 |
j-invariant |
L |
1.0051840208874 |
L(r)(E,1)/r! |
Ω |
0.062824001298328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10005e3 |
Quadratic twists by: 5 |