Atkin-Lehner |
3+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005i |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16657776208125 = 38 · 54 · 133 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 6 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42390,-3371178] |
[a1,a2,a3,a4,a6] |
j |
3834286365440413/7582055625 |
j-invariant |
L |
2.6621044951467 |
L(r)(E,1)/r! |
Ω |
0.33276315950544 |
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 |
109005d2 |
Quadratic twists by: 13 |