Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880bh |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1258720911477964800 = -1 · 245 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7041345,7189555743] |
[a1,a2,a3,a4,a6] |
Generators |
[8763:786432:1] |
Generators of the group modulo torsion |
j |
-147282356044230283729/4801639219200 |
j-invariant |
L |
9.2725570982727 |
L(r)(E,1)/r! |
Ω |
0.25428175859809 |
Real period |
R |
1.5194033102946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50880cn1 1590l1 |
Quadratic twists by: -4 8 |