Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880dz |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
16 |
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 |
[76366635:777868280:132651] |
Generators of the group modulo torsion |
j |
3826354627925929/4734288600 |
j-invariant |
L |
8.1580928869713 |
L(r)(E,1)/r! |
Ω |
0.22342496661269 |
Real period |
R |
9.1284481437166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880p4 12720m3 |
Quadratic twists by: -4 8 |