Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576bz |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-163178053632 = -1 · 215 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 11+ 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-737,21153] |
[a1,a2,a3,a4,a6] |
j |
-1352899016/4979799 |
j-invariant |
L |
1.7863858080203 |
L(r)(E,1)/r! |
Ω |
0.89319290393854 |
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 |
48576du1 24288i1 |
Quadratic twists by: -4 8 |