Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bs |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-2.5671361640805E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-472443,273907217] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:19025:1] |
Generators of the group modulo torsion |
j |
-96643333791265/212739817472 |
j-invariant |
L |
11.732748152172 |
L(r)(E,1)/r! |
Ω |
0.18812244749563 |
Real period |
R |
0.41031324867527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59150w1 4550a1 |
Quadratic twists by: 5 13 |