Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550x |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-244180531968750 = -1 · 2 · 313 · 56 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 2 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20751,1372648] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-561:1] |
Generators of the group modulo torsion |
j |
-63239829700321/15627554046 |
j-invariant |
L |
6.8531612090005 |
L(r)(E,1)/r! |
Ω |
0.52907769610175 |
Real period |
R |
0.49819360250419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262j1 |
Quadratic twists by: 5 |