Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880p |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1241065350758400 = 221 · 3 · 52 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208545,36686625] |
[a1,a2,a3,a4,a6] |
Generators |
[7680:14795:27] |
Generators of the group modulo torsion |
j |
3826354627925929/4734288600 |
j-invariant |
L |
6.0761494435547 |
L(r)(E,1)/r! |
Ω |
0.48366435191513 |
Real period |
R |
6.2813699412252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50880dz4 1590f4 |
Quadratic twists by: -4 8 |