Atkin-Lehner |
3- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981s |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12762734612273217 = -1 · 32 · 112 · 134 · 177 |
Discriminant |
Eigenvalues |
1 3- 0 4 11- 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7376,-5441461] |
[a1,a2,a3,a4,a6] |
j |
-1838265625/528749793 |
j-invariant |
L |
2.8588223048284 |
L(r)(E,1)/r! |
Ω |
0.17867644712277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7293a2 |
Quadratic twists by: 17 |