Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885a |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.243687081176E+27 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-741539893,8240884893922] |
[a1,a2,a3,a4,a6] |
Generators |
[549831506376494679650752950189858270:-32479288283995423522562958512615784421:27660254296672922309136384373000] |
Generators of the group modulo torsion |
j |
-9342587178319196230359841/672014799254742854625 |
j-invariant |
L |
4.2731726332899 |
L(r)(E,1)/r! |
Ω |
0.043980190677702 |
Real period |
R |
48.580651509731 |
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 |
83655bf3 2145e4 |
Quadratic twists by: -3 13 |