Atkin-Lehner |
3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3885h |
Isogeny class |
Conductor |
3885 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
227805440900625 = 34 · 54 · 74 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35370,2452275] |
[a1,a2,a3,a4,a6] |
j |
4893613425692722081/227805440900625 |
j-invariant |
L |
1.1045732000104 |
L(r)(E,1)/r! |
Ω |
0.55228660000519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
62160bx3 11655f4 19425f3 27195f3 |
Quadratic twists by: -4 -3 5 -7 |