Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885r |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1722564445119375 = -1 · 3 · 54 · 114 · 137 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24501,-1342703] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5927:1] |
Generators of the group modulo torsion |
j |
337008232079/356874375 |
j-invariant |
L |
5.7309170719703 |
L(r)(E,1)/r! |
Ω |
0.25559363814462 |
Real period |
R |
2.8027482968529 |
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 |
83655w3 2145g4 |
Quadratic twists by: -3 13 |