Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12768y |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
429183552 = 26 · 3 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 6 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190,104] |
[a1,a2,a3,a4,a6] |
Generators |
[22:84:1] |
Generators of the group modulo torsion |
j |
11914842304/6705993 |
j-invariant |
L |
4.3039728398047 |
L(r)(E,1)/r! |
Ω |
1.4457489639903 |
Real period |
R |
2.9769849033304 |
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 |
12768s1 25536cb2 38304l1 89376cc1 |
Quadratic twists by: -4 8 -3 -7 |