Atkin-Lehner |
2- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6890o |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
110240000 = 28 · 54 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8977,329601] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:644:1] |
Generators of the group modulo torsion |
j |
79996692631487841/110240000 |
j-invariant |
L |
5.6707818284347 |
L(r)(E,1)/r! |
Ω |
1.5926707500761 |
Real period |
R |
1.7802743687494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55120x1 62010m1 34450a1 89570c1 |
Quadratic twists by: -4 -3 5 13 |