Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720bj |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-33609746016000000 = -1 · 211 · 311 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64437,6177638] |
[a1,a2,a3,a4,a6] |
j |
19818563370478/22511671875 |
j-invariant |
L |
0.98140545452243 |
L(r)(E,1)/r! |
Ω |
0.24535136363075 |
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 |
55440n2 9240j2 |
Quadratic twists by: -4 -3 |