Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678s |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-475452610892253478 = -1 · 2 · 11 · 4310 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,145724,-25376803] |
[a1,a2,a3,a4,a6] |
Generators |
[5770507471200673279324224246:-203386622502748604150958811201:5264222672957556867084072] |
Generators of the group modulo torsion |
j |
54138849687/75213622 |
j-invariant |
L |
7.090937078998 |
L(r)(E,1)/r! |
Ω |
0.15710824223355 |
Real period |
R |
45.134087035709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
946a4 |
Quadratic twists by: -43 |