Atkin-Lehner |
2- 3- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47988g |
Isogeny class |
Conductor |
47988 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-46644336 = -1 · 24 · 37 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -5 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201,1145] |
[a1,a2,a3,a4,a6] |
Generators |
[7:9:1] [-7:47:1] |
Generators of the group modulo torsion |
j |
-76995328/3999 |
j-invariant |
L |
7.6798303372091 |
L(r)(E,1)/r! |
Ω |
1.9923755740071 |
Real period |
R |
0.32121748016962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15996b1 |
Quadratic twists by: -3 |