Atkin-Lehner |
3- 5- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755t |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1038106265625 = 32 · 56 · 112 · 132 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3043,-42319] |
[a1,a2,a3,a4,a6] |
j |
3114758604346921/1038106265625 |
j-invariant |
L |
3.9602627471937 |
L(r)(E,1)/r! |
Ω |
0.66004379120052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122265n2 |
Quadratic twists by: -3 |