Atkin-Lehner |
11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34969f |
Isogeny class |
Conductor |
34969 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-5174102280900289 = -1 · 118 · 176 |
Discriminant |
Eigenvalues |
1 -2 -1 2 11- 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1049799,413933375] |
[a1,a2,a3,a4,a6] |
j |
-24729001 |
j-invariant |
L |
1.2123072302726 |
L(r)(E,1)/r! |
Ω |
0.40410241009642 |
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 |
34969g1 121c2 |
Quadratic twists by: -11 17 |