Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16275z |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
6838348125 = 3 · 54 · 76 · 31 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 5 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-558,2969] |
[a1,a2,a3,a4,a6] |
j |
30798131200/10941357 |
j-invariant |
L |
7.3209508380322 |
L(r)(E,1)/r! |
Ω |
1.2201584730054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825bw1 16275e1 113925bo1 |
Quadratic twists by: -3 5 -7 |