Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840ck |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
10937916000000 = 28 · 36 · 56 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12540,-512388] |
[a1,a2,a3,a4,a6] |
j |
851943882144976/42726234375 |
j-invariant |
L |
2.7153383485638 |
L(r)(E,1)/r! |
Ω |
0.45255638914679 |
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 |
20460n2 |
Quadratic twists by: -4 |