Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bj |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-463441324800 = -1 · 28 · 3 · 52 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-350653,-80038657] |
[a1,a2,a3,a4,a6] |
Generators |
[7938238:223910553:6859] |
Generators of the group modulo torsion |
j |
-30866268160/3 |
j-invariant |
L |
6.1026881125621 |
L(r)(E,1)/r! |
Ω |
0.098095720995145 |
Real period |
R |
10.368593805988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700t2 300a2 |
Quadratic twists by: 5 17 |