Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728eq |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-286645581597376512 = -1 · 218 · 35 · 74 · 374 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6497,25757727] |
[a1,a2,a3,a4,a6] |
j |
-115714886617/1093466116323 |
j-invariant |
L |
4.9329171106324 |
L(r)(E,1)/r! |
Ω |
0.24664585554438 |
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 |
49728d3 12432bk4 |
Quadratic twists by: -4 8 |