Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200cm |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-1407545126995680000 = -1 · 28 · 321 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 2 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,219300,41179300] |
[a1,a2,a3,a4,a6] |
Generators |
[4904:345042:1] |
Generators of the group modulo torsion |
j |
9999818009600/12067430787 |
j-invariant |
L |
7.3317341769218 |
L(r)(E,1)/r! |
Ω |
0.18056739856892 |
Real period |
R |
5.075483057149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400cj1 17400r1 52200x1 |
Quadratic twists by: -4 -3 5 |