Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560bw |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-12056040000 = -1 · 26 · 34 · 54 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400,-6250] |
[a1,a2,a3,a4,a6] |
j |
-110868710464/188375625 |
j-invariant |
L |
4.0354545640275 |
L(r)(E,1)/r! |
Ω |
0.5044318208114 |
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 |
58560u1 29280c2 |
Quadratic twists by: -4 8 |