Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55506bj |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
1840 |
Product of Tamagawa factors cp |
deg |
125502720 |
Modular degree for the optimal curve |
Δ |
-6.3389837174191E+30 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11591496710,-495388958772636] |
[a1,a2,a3,a4,a6] |
Generators |
[206956:-77367830:1] |
Generators of the group modulo torsion |
j |
-11872994862835724607989/436955947638718464 |
j-invariant |
L |
12.862681734785 |
L(r)(E,1)/r! |
Ω |
0.0072593424099716 |
Real period |
R |
0.96297811903206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55506e1 |
Quadratic twists by: 29 |