Atkin-Lehner |
2+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27550f |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-3.9854114224314E+20 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -5 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-702851,-986966402] |
[a1,a2,a3,a4,a6] |
j |
-2457494752156086817/25506633103560704 |
j-invariant |
L |
2.0045985025421 |
L(r)(E,1)/r! |
Ω |
0.071592803662215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1102d1 |
Quadratic twists by: 5 |