Atkin-Lehner |
3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9945i |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-412904745703125 = -1 · 314 · 58 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 4 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1116,977265] |
[a1,a2,a3,a4,a6] |
j |
210751100351/566398828125 |
j-invariant |
L |
3.3387239745598 |
L(r)(E,1)/r! |
Ω |
0.41734049681998 |
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 |
3315e4 49725j3 129285t3 |
Quadratic twists by: -3 5 13 |