Atkin-Lehner |
2- 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27140a |
Isogeny class |
Conductor |
27140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1202688 |
Modular degree for the optimal curve |
Δ |
-1.5674531036382E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -2 7 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,865354,1879169545] |
[a1,a2,a3,a4,a6] |
j |
4479036938625887995136/97965818977385984375 |
j-invariant |
L |
1.3510695198347 |
L(r)(E,1)/r! |
Ω |
0.11258912665293 |
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 |
108560j1 |
Quadratic twists by: -4 |