Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232ce |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
-1.2055548903897E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1546744,-16722113836] |
[a1,a2,a3,a4,a6] |
Generators |
[567820:33073638:125] |
Generators of the group modulo torsion |
j |
-20699471212993/6097712265216 |
j-invariant |
L |
10.330944857595 |
L(r)(E,1)/r! |
Ω |
0.046868756918076 |
Real period |
R |
4.5921426507883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154j1 6864ba1 |
Quadratic twists by: -4 13 |