Atkin-Lehner |
3- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
48285c |
Isogeny class |
Conductor |
48285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
105493695705 = 312 · 5 · 29 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6773,-212268] |
[a1,a2,a3,a4,a6] |
Generators |
[461:9489:1] |
Generators of the group modulo torsion |
j |
47128030999561/144710145 |
j-invariant |
L |
3.6681791156522 |
L(r)(E,1)/r! |
Ω |
0.52636798115496 |
Real period |
R |
3.4844246297062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16095b2 |
Quadratic twists by: -3 |