Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17238j |
Isogeny class |
Conductor |
17238 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-225981543762 = -1 · 2 · 34 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1264,15491] |
[a1,a2,a3,a4,a6] |
j |
46268279/46818 |
j-invariant |
L |
5.2450939812892 |
L(r)(E,1)/r! |
Ω |
0.65563674766115 |
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 |
51714k2 102a2 |
Quadratic twists by: -3 13 |