Atkin-Lehner |
5- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12155g |
Isogeny class |
Conductor |
12155 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
417828125 = 56 · 112 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 2 5- 0 11- 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1150,-15458] |
[a1,a2,a3,a4,a6] |
j |
168205749285601/417828125 |
j-invariant |
L |
2.4598533278295 |
L(r)(E,1)/r! |
Ω |
0.8199511092765 |
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 |
109395j2 60775i2 |
Quadratic twists by: -3 5 |