Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728ep |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
87992303616 = 222 · 34 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1414497,-647988705] |
[a1,a2,a3,a4,a6] |
j |
1193961132635558617/335664 |
j-invariant |
L |
4.98369576132 |
L(r)(E,1)/r! |
Ω |
0.13843599337633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728e4 12432bl3 |
Quadratic twists by: -4 8 |