Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810t |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3319358740485133500 = 22 · 37 · 53 · 72 · 118 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1019594745,-12530853775679] |
[a1,a2,a3,a4,a6] |
j |
160797373047230973076421208721/4553304170761500 |
j-invariant |
L |
0.42747726816769 |
L(r)(E,1)/r! |
Ω |
0.026717305567989 |
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 |
39270cd4 |
Quadratic twists by: -3 |