Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510cj |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
Δ |
-1800769363968960000 = -1 · 29 · 33 · 54 · 76 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,299503,13646721] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-5416:1] |
Generators of the group modulo torsion |
j |
935355271080573/566899520000 |
j-invariant |
L |
11.069247151432 |
L(r)(E,1)/r! |
Ω |
0.16247462726268 |
Real period |
R |
0.15770620758851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510d4 990h4 |
Quadratic twists by: -3 -7 |