Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27552b |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10886787072 = 212 · 33 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5969,-175455] |
[a1,a2,a3,a4,a6] |
j |
5743032277312/2657907 |
j-invariant |
L |
1.0863259543417 |
L(r)(E,1)/r! |
Ω |
0.54316297717129 |
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 |
27552u4 55104bi1 82656bk4 |
Quadratic twists by: -4 8 -3 |