Atkin-Lehner |
2- 3+ 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110bl |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
138593483982720000 = 210 · 33 · 54 · 132 · 834 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10234403,-12599498013] |
[a1,a2,a3,a4,a6] |
j |
4390838370360469908188307/5133091999360000 |
j-invariant |
L |
3.3763226865528 |
L(r)(E,1)/r! |
Ω |
0.08440806800186 |
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 |
97110e2 |
Quadratic twists by: -3 |