Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920bq |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5828640768000 = 220 · 36 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23643,1394442] |
[a1,a2,a3,a4,a6] |
j |
489490178841/1952000 |
j-invariant |
L |
1.5236126092688 |
L(r)(E,1)/r! |
Ω |
0.76180630470455 |
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 |
5490u1 4880g1 |
Quadratic twists by: -4 -3 |