Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
47432o |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
68056287376 = 24 · 74 · 116 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11- 6 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,-30743] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:43:1] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
4.3888055360774 |
L(r)(E,1)/r! |
Ω |
0.71965670986497 |
Real period |
R |
3.0492354729255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864c1 47432w1 392c1 |
Quadratic twists by: -4 -7 -11 |