Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4550z |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
456 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-83101491200000000 = -1 · 219 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69888,15557281] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:4657:1] |
Generators of the group modulo torsion |
j |
-96643333791265/212739817472 |
j-invariant |
L |
4.6983415244259 |
L(r)(E,1)/r! |
Ω |
0.3033383319901 |
Real period |
R |
0.033966628841218 |
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 |
36400cj1 40950co1 4550a1 31850ci1 |
Quadratic twists by: -4 -3 5 -7 |