Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984m |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-5348599541376048 = -1 · 24 · 39 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 0 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41154,1433531] |
[a1,a2,a3,a4,a6] |
j |
38912/27 |
j-invariant |
L |
3.2570654126144 |
L(r)(E,1)/r! |
Ω |
0.2714221177495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25992x1 17328b1 51984y1 |
Quadratic twists by: -4 -3 -19 |