Atkin-Lehner |
3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6417l |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-14033979 = -1 · 39 · 23 · 31 |
Discriminant |
Eigenvalues |
-2 3- -1 0 -2 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
-4096/19251 |
j-invariant |
L |
1.9874371768765 |
L(r)(E,1)/r! |
Ω |
1.786963709253 |
Real period |
R |
0.27804666185798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672bp1 2139d1 |
Quadratic twists by: -4 -3 |