Atkin-Lehner |
2+ 3+ 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810d |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8078533293600 = -1 · 25 · 33 · 52 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3810,101556] |
[a1,a2,a3,a4,a6] |
j |
226501329287493/299204936800 |
j-invariant |
L |
1.9874804653741 |
L(r)(E,1)/r! |
Ω |
0.49687012862101 |
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 |
117810cq2 |
Quadratic twists by: -3 |