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 |
2.2130607950971E+23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-753898018,7967060975047] |
[a1,a2,a3,a4,a6] |
Generators |
[3737694923223335230:28014346459297345399:244492356277000] |
Generators of the group modulo torsion |
j |
9817511164935143545689841/45849355031390625 |
j-invariant |
L |
4.2731726332899 |
L(r)(E,1)/r! |
Ω |
0.087960381355404 |
Real period |
R |
24.290325754865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83655bf2 2145e2 |
Quadratic twists by: -3 13 |