Atkin-Lehner |
2+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144g |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-52608275456 = -1 · 210 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ -1 1 2 11- 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9720,-365792] |
[a1,a2,a3,a4,a6] |
Generators |
[452586:58593482:27] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
5.4014889843585 |
L(r)(E,1)/r! |
Ω |
0.24040072736763 |
Real period |
R |
11.234344095823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28072c1 464b1 |
Quadratic twists by: -4 -11 |