Atkin-Lehner |
2+ 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85782g |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
49596430366605384 = 23 · 36 · 17 · 298 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-596287,-176952790] |
[a1,a2,a3,a4,a6] |
j |
39418555113937/83380104 |
j-invariant |
L |
1.0309609981856 |
L(r)(E,1)/r! |
Ω |
0.17182683835784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2958a2 |
Quadratic twists by: 29 |