Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728du |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
51992108679168 = 214 · 36 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13137,468657] |
[a1,a2,a3,a4,a6] |
j |
15304721495632/3173346477 |
j-invariant |
L |
3.5865851648321 |
L(r)(E,1)/r! |
Ω |
0.59776419422483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728bx2 12432s2 |
Quadratic twists by: -4 8 |