Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cs |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
118279372800 = 225 · 3 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1888,-27532] |
[a1,a2,a3,a4,a6] |
Generators |
[1758:9728:27] |
Generators of the group modulo torsion |
j |
7272098185/1155072 |
j-invariant |
L |
8.9447988678383 |
L(r)(E,1)/r! |
Ω |
0.73200140803608 |
Real period |
R |
3.0549117698419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050x1 56400ci1 |
Quadratic twists by: -4 5 |