Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ck |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1795089600 = 26 · 310 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5727,-166804] |
[a1,a2,a3,a4,a6] |
j |
445243675456/38475 |
j-invariant |
L |
4.3904597244576 |
L(r)(E,1)/r! |
Ω |
0.54880746581582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bz1 27360i4 18240j1 |
Quadratic twists by: -4 8 -3 |