Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
24156g |
Isogeny class |
Conductor |
24156 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5400 |
Modular degree for the optimal curve |
Δ |
-7826544 = -1 · 24 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11- 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309,-2095] |
[a1,a2,a3,a4,a6] |
Generators |
[8708872:50744945:205379] |
Generators of the group modulo torsion |
j |
-279738112/671 |
j-invariant |
L |
6.8978168661114 |
L(r)(E,1)/r! |
Ω |
0.56926899402428 |
Real period |
R |
12.116972711529 |
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 |
96624bm1 2684b1 |
Quadratic twists by: -4 -3 |