Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80496r |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
47382118992 = 24 · 36 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6462,-199665] |
[a1,a2,a3,a4,a6] |
Generators |
[471:10062:1] |
Generators of the group modulo torsion |
j |
2558450755584/4062253 |
j-invariant |
L |
4.9833799922309 |
L(r)(E,1)/r! |
Ω |
0.53253631861518 |
Real period |
R |
1.55963697298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40248p1 8944b1 |
Quadratic twists by: -4 -3 |