Atkin-Lehner |
3- 5+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
54855d |
Isogeny class |
Conductor |
54855 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
22993844625 = 38 · 53 · 232 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1035,10800] |
[a1,a2,a3,a4,a6] |
j |
168288035761/31541625 |
j-invariant |
L |
2.2856928124363 |
L(r)(E,1)/r! |
Ω |
1.1428464070973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18285d1 |
Quadratic twists by: -3 |