Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dg |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-566590464 = -1 · 210 · 37 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,111,-1017] |
[a1,a2,a3,a4,a6] |
j |
146377472/553311 |
j-invariant |
L |
5.8211046251164 |
L(r)(E,1)/r! |
Ω |
0.83158637509347 |
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 |
48576u1 12144f1 |
Quadratic twists by: -4 8 |