Atkin-Lehner |
2- 3+ 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822w |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-89008479290374056 = -1 · 23 · 39 · 7 · 17 · 416 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,104596,6016087] |
[a1,a2,a3,a4,a6] |
Generators |
[153755:-5659541:125] [2006:54397:8] |
Generators of the group modulo torsion |
j |
6429564263225349/4522099237432 |
j-invariant |
L |
13.940294536538 |
L(r)(E,1)/r! |
Ω |
0.21517163611787 |
Real period |
R |
5.3989049502989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87822a1 |
Quadratic twists by: -3 |