Atkin-Lehner |
3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17181a |
Isogeny class |
Conductor |
17181 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
12524949 = 38 · 23 · 83 |
Discriminant |
Eigenvalues |
0 3- 1 4 2 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1542,-23306] |
[a1,a2,a3,a4,a6] |
j |
556223463424/17181 |
j-invariant |
L |
3.0474687261493 |
L(r)(E,1)/r! |
Ω |
0.76186718153732 |
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 |
5727d1 |
Quadratic twists by: -3 |