Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110u |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6733955072000 = -1 · 224 · 53 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -3 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2656001,-1666280695] |
[a1,a2,a3,a4,a6] |
j |
-12260882214781902154921/39845888000 |
j-invariant |
L |
1.419135098317 |
L(r)(E,1)/r! |
Ω |
0.059130629096564 |
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 |
32110s2 |
Quadratic twists by: 13 |