Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682a |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-66834418253824 = -1 · 214 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ 0 -1 4 4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-112475,-14496091] |
[a1,a2,a3,a4,a6] |
Generators |
[60827044224830:-825662769860447:128405466125] |
Generators of the group modulo torsion |
j |
-38575685889/16384 |
j-invariant |
L |
5.5081798251191 |
L(r)(E,1)/r! |
Ω |
0.13034498103996 |
Real period |
R |
21.129236358669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97682k2 338a2 |
Quadratic twists by: 13 17 |