Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400dl |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-288768000 = -1 · 214 · 3 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 0 -3 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128,948] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:30:1] |
Generators of the group modulo torsion |
j |
-456533/564 |
j-invariant |
L |
9.5524006979514 |
L(r)(E,1)/r! |
Ω |
1.5661644480307 |
Real period |
R |
1.5248080605255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050z1 56400ce1 |
Quadratic twists by: -4 5 |