Atkin-Lehner |
2+ 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822i |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-73779245253515592 = -1 · 23 · 318 · 72 · 172 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76455,15413733] |
[a1,a2,a3,a4,a6] |
j |
-67798027214452081/101206097741448 |
j-invariant |
L |
2.4810695757378 |
L(r)(E,1)/r! |
Ω |
0.3101336798872 |
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 |
29274bo2 |
Quadratic twists by: -3 |