Atkin-Lehner |
3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285be |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-38668266906975225 = -1 · 38 · 52 · 138 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37993,9011864] |
[a1,a2,a3,a4,a6] |
j |
1723683599/10989225 |
j-invariant |
L |
2.1123053216879 |
L(r)(E,1)/r! |
Ω |
0.26403832929477 |
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 |
43095k2 9945e2 |
Quadratic twists by: -3 13 |