Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144bc |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
167878656 = 213 · 34 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11+ 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456,-3852] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
2565726409/40986 |
j-invariant |
L |
5.8842379494637 |
L(r)(E,1)/r! |
Ω |
1.0339499982645 |
Real period |
R |
0.71137844665363 |
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 |
1518e1 48576cn1 36432cp1 |
Quadratic twists by: -4 8 -3 |