Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072cd |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3093110040293277696 = 221 · 322 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1233804,520662800] |
[a1,a2,a3,a4,a6] |
Generators |
[112730:1486656:125] |
Generators of the group modulo torsion |
j |
1086913000972513/16185567096 |
j-invariant |
L |
6.234961599658 |
L(r)(E,1)/r! |
Ω |
0.25337374021333 |
Real period |
R |
6.1519413914089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27072bc3 6768o4 9024bm3 |
Quadratic twists by: -4 8 -3 |