Atkin-Lehner |
2+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870k |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-55050160 = -1 · 24 · 5 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2,356] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:19:1] |
Generators of the group modulo torsion |
j |
-121/3760 |
j-invariant |
L |
8.300962825867 |
L(r)(E,1)/r! |
Ω |
1.5874875447617 |
Real period |
R |
0.87149899782194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870y1 |
Quadratic twists by: -11 |