Atkin-Lehner |
2+ 3- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906k |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1817842305068124192 = -1 · 25 · 310 · 112 · 132 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,132264,-62203680] |
[a1,a2,a3,a4,a6] |
Generators |
[363:5610:1] |
Generators of the group modulo torsion |
j |
351009842940054143/2493610843714848 |
j-invariant |
L |
5.8294619258671 |
L(r)(E,1)/r! |
Ω |
0.13155223208677 |
Real period |
R |
1.846371156591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16302w2 |
Quadratic twists by: -3 |