Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048cb |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
217976832 = 212 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-900,10368] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-27:1] [-18:144:1] |
Generators of the group modulo torsion |
j |
27000000/73 |
j-invariant |
L |
8.2694936728828 |
L(r)(E,1)/r! |
Ω |
1.7786048631679 |
Real period |
R |
1.1623567780751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048bz1 21024n1 4672c1 |
Quadratic twists by: -4 8 -3 |