Atkin-Lehner |
2- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6832d |
Isogeny class |
Conductor |
6832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-1748992 = -1 · 212 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -2 4 7+ 2 2 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,67] |
[a1,a2,a3,a4,a6] |
j |
-262144/427 |
j-invariant |
L |
2.3755351596172 |
L(r)(E,1)/r! |
Ω |
2.3755351596172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
427a1 27328x1 61488x1 47824x1 |
Quadratic twists by: -4 8 -3 -7 |