Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885a |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.7653775194412E+29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,633362142,32641593461937] |
[a1,a2,a3,a4,a6] |
Generators |
[-49051394838981144168928:6285662126338339449037589:2223331612152212717] |
Generators of the group modulo torsion |
j |
5821298902603944481896719/98727285861968994140625 |
j-invariant |
L |
4.2731726332899 |
L(r)(E,1)/r! |
Ω |
0.021990095338851 |
Real period |
R |
24.290325754865 |
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 |
83655bf5 2145e6 |
Quadratic twists by: -3 13 |