Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880ed |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-18429849000000 = -1 · 26 · 38 · 56 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6540,-32850] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1350:1] |
Generators of the group modulo torsion |
j |
483293078634176/287966390625 |
j-invariant |
L |
8.1770057411391 |
L(r)(E,1)/r! |
Ω |
0.40225329244297 |
Real period |
R |
0.84700008414672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880cx1 25440x2 |
Quadratic twists by: -4 8 |