Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6864b |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-43490304 = -1 · 210 · 33 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] |
Generators of the group modulo torsion |
j |
72765788/42471 |
j-invariant |
L |
3.4459533153884 |
L(r)(E,1)/r! |
Ω |
1.2258898310247 |
Real period |
R |
1.4054906192133 |
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 |
3432i1 27456cn1 20592j1 75504f1 |
Quadratic twists by: -4 8 -3 -11 |