Atkin-Lehner |
3- 5- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
56115o |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1977212025 = 37 · 52 · 292 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-459,3240] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:531:8] |
Generators of the group modulo torsion |
j |
14688124849/2712225 |
j-invariant |
L |
8.3956802537928 |
L(r)(E,1)/r! |
Ω |
1.4030006916783 |
Real period |
R |
1.4960221159659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705g1 |
Quadratic twists by: -3 |