Atkin-Lehner |
2+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6890a |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
1128857600 = 216 · 52 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-273,533] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:50:1] |
Generators of the group modulo torsion |
j |
2263054145689/1128857600 |
j-invariant |
L |
4.1433622086529 |
L(r)(E,1)/r! |
Ω |
1.3694309068216 |
Real period |
R |
3.0256088043678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55120g1 62010cf1 34450v1 89570z1 |
Quadratic twists by: -4 -3 5 13 |