Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720o |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-289416888000000000 = -1 · 212 · 35 · 59 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,69899,24863485] |
[a1,a2,a3,a4,a6] |
j |
9220838993985536/70658419921875 |
j-invariant |
L |
0.22454790487823 |
L(r)(E,1)/r! |
Ω |
0.22454790487823 |
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 |
795c2 50880ee2 38160cf2 63600db2 |
Quadratic twists by: -4 8 -3 5 |