Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fe |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
79590960288000 = 28 · 36 · 53 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30953,-2043863] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:92:1] |
Generators of the group modulo torsion |
j |
38238692409/928000 |
j-invariant |
L |
11.950570255596 |
L(r)(E,1)/r! |
Ω |
0.36046847792522 |
Real period |
R |
2.0720553673962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999533098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14210g1 2610n1 |
Quadratic twists by: -3 -7 |