Atkin-Lehner |
2- 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112176w |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-5960583936 = -1 · 28 · 36 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -5 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-504,5724] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:82:1] [6:54:1] |
Generators of the group modulo torsion |
j |
-75866112/31939 |
j-invariant |
L |
9.6861954258107 |
L(r)(E,1)/r! |
Ω |
1.2610195529777 |
Real period |
R |
0.9601551581297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28044a1 12464d1 |
Quadratic twists by: -4 -3 |