Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900h |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-22647432500000000 = -1 · 28 · 510 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-377708,-89766412] |
[a1,a2,a3,a4,a6] |
Generators |
[400937283710:5864897117443:493039000] |
Generators of the group modulo torsion |
j |
-20261200/77 |
j-invariant |
L |
6.9217596123771 |
L(r)(E,1)/r! |
Ω |
0.096267928335082 |
Real period |
R |
17.975248174772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53900bf1 7700a1 |
Quadratic twists by: 5 -7 |