Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17238i |
Isogeny class |
Conductor |
17238 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-2.6303875114637E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1340082,-7779677781] |
[a1,a2,a3,a4,a6] |
j |
55138849409108375/5449537181735712 |
j-invariant |
L |
2.2576449094896 |
L(r)(E,1)/r! |
Ω |
0.05644112273724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51714g2 1326a2 |
Quadratic twists by: -3 13 |