Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930dc |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-50697307080 = -1 · 23 · 34 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1226,-19860] |
[a1,a2,a3,a4,a6] |
Generators |
[46:124:1] |
Generators of the group modulo torsion |
j |
-1732323601/430920 |
j-invariant |
L |
9.3317589275258 |
L(r)(E,1)/r! |
Ω |
0.39819359332501 |
Real period |
R |
0.48823398362608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790cb1 3990s1 |
Quadratic twists by: -3 -7 |