Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650dh |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
4207140000000 = 28 · 34 · 57 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7963,254417] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:569:1] |
Generators of the group modulo torsion |
j |
3573857582569/269256960 |
j-invariant |
L |
11.729640627301 |
L(r)(E,1)/r! |
Ω |
0.7624914314651 |
Real period |
R |
0.96145675734756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130c1 |
Quadratic twists by: 5 |