Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bs |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
57126411746712 = 23 · 38 · 76 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-496949360,4264115603195] |
[a1,a2,a3,a4,a6] |
j |
18617981304923189443593501625/78362704728 |
j-invariant |
L |
3.2577871962757 |
L(r)(E,1)/r! |
Ω |
0.20361169976651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
13398u4 |
Quadratic twists by: -3 |