Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846t |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
112601658248705808 = 24 · 36 · 76 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-348642,77660100] |
[a1,a2,a3,a4,a6] |
j |
6428890034697390625/154460436555152 |
j-invariant |
L |
1.3300629297994 |
L(r)(E,1)/r! |
Ω |
0.33251573244964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
3094i3 |
Quadratic twists by: -3 |