Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
9648g |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-29638656 = -1 · 214 · 33 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387,-2942] |
[a1,a2,a3,a4,a6] |
Generators |
[23:18:1] |
Generators of the group modulo torsion |
j |
-57960603/268 |
j-invariant |
L |
4.9385742285118 |
L(r)(E,1)/r! |
Ω |
0.53804881918912 |
Real period |
R |
2.2946682774783 |
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 |
1206a1 38592bk1 9648h1 |
Quadratic twists by: -4 8 -3 |