Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bh |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
11183046875000 = 23 · 510 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5605,15397] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:280:1] |
Generators of the group modulo torsion |
j |
1246114341081/715715000 |
j-invariant |
L |
8.2853997762631 |
L(r)(E,1)/r! |
Ω |
0.61335064603961 |
Real period |
R |
1.125701889799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010j2 |
Quadratic twists by: 5 |