Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bh |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-52917480468750000 = -1 · 24 · 3 · 518 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7367,11067488] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:150:1] |
Generators of the group modulo torsion |
j |
611926016/732421875 |
j-invariant |
L |
7.1964607016625 |
L(r)(E,1)/r! |
Ω |
0.27750060757695 |
Real period |
R |
4.3221891524231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340f2 86700n2 |
Quadratic twists by: 5 17 |