Atkin-Lehner |
2+ 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6578b |
Isogeny class |
Conductor |
6578 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-35573824 = -1 · 26 · 11 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 0 3 -3 11+ 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37,-283] |
[a1,a2,a3,a4,a6] |
Generators |
[22:93:1] |
Generators of the group modulo torsion |
j |
5517084663/35573824 |
j-invariant |
L |
3.1778462667803 |
L(r)(E,1)/r! |
Ω |
1.0295738697178 |
Real period |
R |
0.51442743453517 |
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 |
52624h1 59202bh1 72358l1 85514r1 |
Quadratic twists by: -4 -3 -11 13 |