Atkin-Lehner |
2+ 3+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486a |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
12142449524736 = 218 · 34 · 233 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13449,-582075] |
[a1,a2,a3,a4,a6] |
Generators |
[-1959:4637:27] |
Generators of the group modulo torsion |
j |
269056908684715033/12142449524736 |
j-invariant |
L |
2.8460013136503 |
L(r)(E,1)/r! |
Ω |
0.44456364060615 |
Real period |
R |
6.4017860519808 |
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 |
51888x1 19458n1 |
Quadratic twists by: -4 -3 |