Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fo |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-555286853993681250 = -1 · 2 · 312 · 55 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16528,35838821] |
[a1,a2,a3,a4,a6] |
Generators |
[438:48377:8] |
Generators of the group modulo torsion |
j |
118822151/132131250 |
j-invariant |
L |
13.579830374601 |
L(r)(E,1)/r! |
Ω |
0.22804525036033 |
Real period |
R |
2.9774420629926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999711559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630be1 127890fd1 |
Quadratic twists by: -3 -7 |