Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
51168o |
Isogeny class |
Conductor |
51168 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
530509824 = 212 · 35 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 5 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2705,53247] |
[a1,a2,a3,a4,a6] |
Generators |
[31:12:1] |
Generators of the group modulo torsion |
j |
534596504896/129519 |
j-invariant |
L |
7.9825238637767 |
L(r)(E,1)/r! |
Ω |
1.6049321352984 |
Real period |
R |
0.24868727119933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51168j1 102336bt1 |
Quadratic twists by: -4 8 |