Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11440q |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-1.5054259554458E+24 |
Discriminant |
Eigenvalues |
2- 1 5- -1 11- 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17117160,65015726900] |
[a1,a2,a3,a4,a6] |
j |
-135412551115258010417641/367535633653760000000 |
j-invariant |
L |
2.0965357666669 |
L(r)(E,1)/r! |
Ω |
0.07487627738096 |
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 |
1430b1 45760bf1 102960cv1 57200bv1 |
Quadratic twists by: -4 8 -3 5 |