Atkin-Lehner |
11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6413f |
Isogeny class |
Conductor |
6413 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-3738779 = -1 · 113 · 532 |
Discriminant |
Eigenvalues |
-2 1 -1 -2 11+ -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4,94] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [8:26:1] |
Generators of the group modulo torsion |
j |
4096/2809 |
j-invariant |
L |
3.002851066817 |
L(r)(E,1)/r! |
Ω |
1.9399965802912 |
Real period |
R |
0.38696602578116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102608h1 57717m1 6413e1 |
Quadratic twists by: -4 -3 -11 |