Atkin-Lehner |
2- 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56760r |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
3148477200 = 24 · 32 · 52 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-980,-11175] |
[a1,a2,a3,a4,a6] |
Generators |
[80:645:1] [-19:15:1] |
Generators of the group modulo torsion |
j |
6512159646976/196779825 |
j-invariant |
L |
8.2728300469566 |
L(r)(E,1)/r! |
Ω |
0.85478917504767 |
Real period |
R |
0.40325879411999 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113520s1 |
Quadratic twists by: -4 |