Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880p |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-4268123750400 = -1 · 230 · 3 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3935,27937] |
[a1,a2,a3,a4,a6] |
Generators |
[2122:35475:8] |
Generators of the group modulo torsion |
j |
25698491351/16281600 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
50880dz1 1590f1 |
Quadratic twists by: -4 8 |