Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540bj |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-362247900300000000 = -1 · 28 · 311 · 58 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-558965,163251063] |
[a1,a2,a3,a4,a6] |
Generators |
[421:-1650:1] [-734:13365:1] |
Generators of the group modulo torsion |
j |
-446428245279637504/8372963671875 |
j-invariant |
L |
13.709054302602 |
L(r)(E,1)/r! |
Ω |
0.30250317190871 |
Real period |
R |
0.085830895041033 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540be1 |
Quadratic twists by: 13 |