Atkin-Lehner |
2+ 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111800k |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-17468750000 = -1 · 24 · 59 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 0 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83,6338] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:625:8] |
Generators of the group modulo torsion |
j |
-2048/559 |
j-invariant |
L |
9.6497077904499 |
L(r)(E,1)/r! |
Ω |
1.0015923915374 |
Real period |
R |
2.4085915265039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111800o1 |
Quadratic twists by: 5 |