Atkin-Lehner |
2- 3- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27666k |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-7864199834718456 = -1 · 23 · 315 · 293 · 532 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41504,-5355781] |
[a1,a2,a3,a4,a6] |
j |
-10845666278753977/10787654094264 |
j-invariant |
L |
1.9293790810605 |
L(r)(E,1)/r! |
Ω |
0.16078159008837 |
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 |
9222g1 |
Quadratic twists by: -3 |