Atkin-Lehner |
2+ 3- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866j |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-657612914112 = -1 · 26 · 38 · 7 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-305,39044] |
[a1,a2,a3,a4,a6] |
Generators |
[6:190:1] |
Generators of the group modulo torsion |
j |
-3123019823113/657612914112 |
j-invariant |
L |
5.3982127375536 |
L(r)(E,1)/r! |
Ω |
0.74187321932657 |
Real period |
R |
0.45477891276809 |
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 |
59598bf1 |
Quadratic twists by: -3 |