Atkin-Lehner |
2- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27550be |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18080 |
Modular degree for the optimal curve |
Δ |
-2152343750 = -1 · 2 · 59 · 19 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 4 -4 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-388,3531] |
[a1,a2,a3,a4,a6] |
j |
-3307949/1102 |
j-invariant |
L |
2.7659250483057 |
L(r)(E,1)/r! |
Ω |
1.3829625241537 |
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 |
27550o1 |
Quadratic twists by: 5 |